D. Alpay

发表

The Schur algorithm, reproducing kernel spaces and system theory

D. Alpay, 2002 .

Lossless Inverse Scattering and Reproducing Kernels for Upper Triangular Operators

D. Alpay, P. Dewilde, H. Dym, 1990 .

An Advanced Complex Analysis Problem Book: Topological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions

D. Alpay, 2015 .

Reproducing Kernel Spaces and Applications

Daniel Alpay, D. Alpay, 2012 .

Composition of rational functions: State-space realization and applications

D. Alpay, I. Lewkowicz, 2018, Linear Algebra and its Applications.

"Wrong" Side Interpolation by Low Degree Positive Real rational Functions

D. Alpay, I. Lewkowicz, 2017, 1704.06239.

Characterizations of rectangular (para)-unitary rational Functions

D. Alpay, I. Lewkowicz, P. Jorgensen, 2014, 1410.0283.

ON THE BITANGENTIAL INTERPOLATION PROBLEM FOR CONTRACTIVE VALUED FUNCTIONS IN THE POLYDISK

Vladimir Bolotnikov, Joseph A. Ball, Daniel Alpay, 2000 .

Rational Functions Associated with the White Noise Space and Related Topics

David Levanony, Daniel Alpay, D. Alpay, 2008, 0802.2373.

Reproducing Kernel Spaces of Series of Fueter Polynomials

D. Alpay, M. Shapiro, D. Volok, 2005 .

Some extremal problems linked with indentification from partial frequency data

D. Alpay, J. Leblond, L. Baratchart, 1993 .

Traces of Hardy functions and reproducing kernel Hilbert spaces

D. Alpay, J. Leblond, 1995 .

On a new class of realization formulas and their application

D. Alpay, H. Dym, 1996 .

Schur Analysis in the Quaternionic Setting: The Fueter Regular and the Slice Regular Case

D. Alpay, F. Colombo, I. Sabadini, 2015 .

Slice Hyperholomorphic Schur Analysis

D. Alpay, F. Colombo, I. Sabadini, 2016 .

Reproducing kernel Hilbert spaces generated by the binomial coefficients

D. Alpay, P. Jorgensen, 2012, 1212.1564.

Positive and Generalized Positive Real Lemma for Slice Hyperholomorphic Functions

D. Alpay, I. Lewkowicz, F. Colombo, 2018, Integral Equations and Operator Theory.

A pr 2 00 5 Matrix-J-unitary Non-commutative Rational Formal Power Series D . Alpay and

D. Alpay, 2017 .

Infinite Product Representations for Kernels and Iterations of Functions

D. Alpay, I. Lewkowicz, P. Jorgensen, 2013, 1301.4626.

Generalized Quaternionic Schur Functions in the Ball and Half-Space and Krein-Langer Factorization

D. Alpay, F. Colombo, I. Sabadini, 2014, 1406.6830.

On discrete analytic functions: Products, rational functions and reproducing kernels

D. Alpay, P. Jorgensen, D. Volok, 2013 .

ON DISCRETE ANALYTIC FUNCTIONS: PRODUCTS, RATIONAL FUNCTIONS, AND SOME ASSOCIATED REPRODUCING KERNEL HILBERT SPACES

D. Alpay, P. Jorgensen, D. Volok, 2012, 1208.3699.

Discrete-Time Multi-Scale Systems

D. Alpay, M. Mboup, 2009, 0910.0234.

ASSOCIATED WITH THE FRACTIONAL AND BI-FRACTIONAL BROWNIAN MOTIONS

D. Alpay, David Levanony, 2007 .

The Transformation of Issai Schur and Related Topics in an Indefinite Setting

D. Alpay, H. Langer, A. Dijksma, 2007 .

On the Reproducing Kernel Hilbert Spaces Associated with the Fractional and Bi-Fractional Brownian Motions

D. Alpay, David Levanony, 2007, 0705.2863.

Matrix-J-unitary Non-commutative Rational Formal Power Series

D. Alpay, D. S. Kalyuzhnyı̆-Verbovetzkiı̆, 2004, math/0407387.

Indefinite Hardy Spaces on Finite Bordered Riemann Surfaces

D. Alpay, V. Vinnikov, 2000 .

On tangential interpolation in reproducing kernel Hilbert modules and applications

D. Alpay, V. Bolotnikov, 1997 .

On tangential H2 interpolation with second order norm constraints

P. Loubaton, D. Alpay, V. Bolotnikov, 1996 .

On Reproducing Kernel Spaces, The Schur Algorithm, and Interpolation in a General Class of Domains

D. Alpay, H. Dym, 1992 .

On Applications of Reproducing Kernel Spaces to the Schur Algorithm and Rational J Unitary Factorization

D. Alpay, H. Dym, 1986 .

Schur Functions and Their Realizations in the Slice Hyperholomorphic Setting

D. Alpay, F. Colombo, I. Sabadini, 2011, 1110.2634.

The Fock Space in the Slice Hyperholomorphic Setting

D. Alpay, F. Colombo, I. Sabadini, 2014, 1406.5583.

On the global operator and Fueter mapping theorem for slice polyanalytic functions

D. Alpay, I. Sabadini, K. Diki, 2020, 2009.06542.

Spectral theory for Gaussian processes: Reproducing kernels, random functions, boundaries, and $\mathbf L^2$-wavelet generators with fractional scales

D. Alpay, P. Jorgensen, 2012, 1208.2918.

On the characteristics of a class of Gaussian processes within the white noise space setting

D. Alpay, David Levanony, H. Attia, 2009, 0909.4267.

A new realization of rational functions, with applications to linear combination interpolation, the Cuntz relations and kernel decompositions

D. Alpay, I. Lewkowicz, P. Jorgensen, 2014, 1408.4404.

On the differential structure of matrix-valued rational inner functions

Laurent Baratchart, Andrea Gombani, Daniel Alpay, 1992 .

Interpolation Theory, Systems Theory and Related Topics : The Harry Dym Anniversary Volume

D. Alpay, H. Dym, I. Gohberg, 2002 .

Minimal state space realization, static output feedback and matrix completion

D. Alpay, I. Lewkowicz, 2013, 1305.1756.

Wiener Chaos Approach to Optimal Prediction

D. Alpay, A. Kipnis, 2014, 1411.3032.

Linear Stochastic Systems: A White Noise Approach

D. Alpay, David Levanony, 2008, 0811.4321.

Positivity, Rational Schur Functions, Blaschke Factors, and Other Related Results in the Grassmann Algebra

D. Alpay, D. Struppa, I. L. Paiva, 2018, Integral Equations and Operator Theory.

Hilbert spaces of analytic functions, inverse scattering and operator models.I

D. Alpay, H. Dym, 1984 .

Basic classes of matrices with respect to quaternionic indefinite inner product spaces

D. Alpay, L. Rodman, A. Ran, 2006 .

A relationship between the Nehari and the Carathéodory-Toeplitz extension problems

D. Alpay, I. Gohberg, 1996 .

On the Equivalence of Probability Spaces

D. Alpay, P. Jorgensen, David Levanony, 2016, 1601.00639.

Characterizations of families of rectangular, finite impulse response, para-unitary systems

D. Alpay, I. Lewkowicz, P. Jorgensen, 2014, 1410.0280.

Brune sections in the non-stationary case

D. Alpay, P. Dewilde, V. Bolotnikov, 2002 .

Brune sections in nonstationary system theory

D. Alpay, P. Dewilde, V. Bolotnikov, 2000 .

Interpolation By Polynomials With Symmetries

D. Alpay, I. Lewkowicz, 2014 .

INTERPOLATION BY POLYNOMIALS WITH SYMMETRIES ON THE IMAGINARY AXIS

D. Alpay, I. Lewkowicz, 2012, 1208.1869.

State space realization of even generalized positive and odd rational function. Applications to static output feedback

D. Alpay, I. Lewkowicz, 2012, 1202.1099.

Quantitatively hyper-positive real functions

D. Alpay, I. Lewkowicz, 2019, Linear Algebra and its Applications.

Realizations of Infinite Products, Ruelle Operators and Wavelet Filters

D. Alpay, I. Lewkowicz, P. Jorgensen, 2014, 1406.5338.

STOCHASTIC INTEGRATION FOR A WIDE CLASS OF GAUSSIAN STATIONARY INCREMENT PROCESSES USING AN EXTENSION OF THE S-TRANSFORM

D. Alpay, A. Kipnis, 2011, 1109.1099.

Finitely additive functions in measure theory and applications

D. Alpay, P. Jorgensen, 2022, Opuscula Mathematica.

Extending Wavelet Filters: Infinite Dimensions, the Nonrational Case, and Indefinite Inner Product Spaces

D. Alpay, I. Lewkowicz, P. Jorgensen, 2011, 1106.2303.

Aharonov–Berry superoscillations in the radial harmonic oscillator potential

D. Alpay, D. Struppa, F. Colombo, 2019, Quantum Studies: Mathematics and Foundations.

Rational hyperholomorphic functions in (\mathbb R^4)

D. Alpay, M. Shapiro, D. Volok, 2003, math/0312504.

Operator Theory, System Theory and Related Topics

D. Alpay, V. Vinnikov, 2001 .

Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

D. Alpay, D. Struppa, M. Shapiro, 2013, 1304.0781.

Matrix-J-unitary Non-commutative Rational Formal Power Series

D. Alpay, D. S. Kalyuzhnyı̆-Verbovetzkiı̆, 2004, math/0407387.

Representation theory and multilevel filters

D. Alpay, I. Lewkowicz, P. Jorgensen, 2022, Journal of Applied Mathematics and Computing.

The Fock Space as a De Branges–Rovnyak Space

D. Alpay, F. Colombo, I. Sabadini, 2018, Integral Equations and Operator Theory.

Operator theory, systems theory and scattering theory : multidimensional generalizations

D. Alpay, V. Vinnikov, 2005 .

Spectral factorization in the non-stationary Wiener algebra

D. Alpay, D. Volok, H. Attia, 2003, math/0312193.

H\"ormander's $L^2$-method, $\bar{\partial}$-problem and polyanalytic function theory in one complex variable

D. Alpay, D. Struppa, F. Colombo, 2022, 2209.08481.

Kolmogorov’s Axioms for Probabilities with Values in Hyperbolic Numbers

D. Alpay, M. Shapiro, M. E. Luna‐Elizarrarás, 2015, 1508.01350.

Carathéodory functions in the Banach space setting

D. Alpay, D. Volok, O. Timoshenko, 2006, math/0607283.

Generalized white noise analysis and topological algebras

D. Alpay, U. Kähler, P. Cerejeiras, 2021, Stochastics.

Generalized Fock space and moments

D. Alpay, P. Cerejeiras, U. Kaehler, 2020, 2005.08085.

Discrete Wiener Algebra in the Bicomplex Setting, Spectral Factorization with Symmetry, and Superoscillations

D. Alpay, I. Lewkowicz, M. Vajiac, 2022, 2206.12814.

Distribution spaces and a new construction of stochastic processes associated with the Grassmann algebra

D. Alpay, D. Struppa, I. L. Paiva, 2018, Journal of Mathematical Physics.

Two Bicomplex Least Mean Square (BLMS) algorithms

D. Alpay, K. Diki, M. Vajiac, 2022, ArXiv.

An approach to the Gaussian RBF kernels via Fock spaces

D. Alpay, F. Colombo, I. Sabadini, 2022, Journal of Mathematical Physics.

Positivity, Rational Schur Functions, Blaschke Factors, and Other Related Results in the Grassmann Algebra

D. Alpay, D. Struppa, I. L. Paiva, 2019, Integral Equations and Operator Theory.

Schur Multipliers and De Branges–Rovnyak Spaces : The Multiscale Case

D. Alpay, D. Volok, A. Dijksma, 2006, math/0605331.

Positive and Generalized Positive Real Lemma for Slice Hyperholomorphic Functions

D. Alpay, I. Lewkowicz, F. Colombo, 2019, Integral Equations and Operator Theory.

On the Loewner problem in the class N-kappa

D. Alpay, H. Langer, A. Dijksma, 2002 .

Interpolation Problems for Certain Classes of Slice Hyperholomorphic Functions

D. Alpay, V. Bolotnikov, F. Colombo, 2016, Integral Equations and Operator Theory.

Schur Algorithm in The Class SI of J -contractive Functions Intertwining Solutions of Linear Differential Equations

D. Alpay, V. Vinnikov, A. Melnikov, 2012 .

Classes of pairs of meromorphic matrix valued functions generated by nonnegative kernels and associated Nevanlinna-Pick problems

D. Alpay, V. Bolotnikov, 1995 .

The Carathéodory-Féjer Interpolation Problem in Hardy Classes

D. Alpay, V. Bolotnikov, 1994 .

A note on interpolation in the generalized Schur class

D. Alpay, A. Dijksma, J. Rovnyak, 2000, math/0008057.

Scale-Shift and Harmonic analysis approach to the Mellin transform for Discrete-time signals

D. Alpay, M. Mboup, Mor Ngom, 2022, Signal Processing.

Commutators on Fock spaces

D. Alpay, P. Cerejeiras, U. Kaehler, 2022, Journal of Mathematical Physics.

Reflection positivity via Krein space analysis

D. Alpay, P. Jorgensen, 2022, Adv. Appl. Math..

Realization theorems for stationary multiscale systems

D. Alpay, D. Volok, H. Attia, 2006 .

Kolmogorov’s Axioms for Probabilities with Values in Hyperbolic Numbers

D. Alpay, M. Shapiro, M. E. Luna‐Elizarrarás, 2016, Advances in Applied Clifford Algebras.

Reproducing Kernels and their Applications

Joseph A. Ball, Saburou Saitoh, Daniel Alpay, 1999 .

On Algebras Which are Inductive Limits of Banach Spaces

D. Alpay, Guy Salomon, 2015, Integral Equations and Operator Theory.

Superoscillations and Analytic Extension in Schur Analysis

D. Alpay, F. Colombo, I. Sabadini, 2021, Journal of Fourier Analysis and Applications.

Caratheodory-Fejer interpolation and related topics in locally convex spaces

D. Alpay, D. Volok, O. Timoshenko, 2007, 0707.0774.

Subclasses of Herglotz-Nevanlinna matrix-valued functtons and linear systems

D. Alpay, E. Tsekanovskiĭ, 2013 .

On discrete analytic functions: Products, rational functions and reproducing kernels

D. Alpay, P. Jorgensen, D. Volok, 2012, Journal of Applied Mathematics and Computing.

Krein reproducing kernel modules in Clifford analysis

D. Alpay, U. Kähler, P. Cerejeiras, 2021, Journal d'Analyse Mathématique.

Linear State space theory in the white noise space setting

D. Alpay, David Levanony, A. Pinhas, 2009, 0911.2574.

List of Publications* of Professor Dr. Dr. h.c. mult. Heinz Langer

D. Alpay, B. Kirstein, 2018 .

Rational Matrix Functions with Coisometric Values on the Imaginary Line

D. Alpay, M. Rakowski, 1995 .

Mathematics, Signal Processing and Linear Systems New Problems and Directions

D. Alpay, J. Ball, G. Groenewald, 2017 .

Non-commutative stochastic distributions and applications to linear systems theory

Daniel Alpay, Guy Salomon, D. Alpay, 2012, 1209.4580.

A realization theorem for rational functions of several complex variables

Daniel Alpay, Chen Dubi, D. Alpay, 2003, Syst. Control. Lett..

Gleason's problem and homogeneous interpolation in Hardy and Dirichlet-type spaces of the ball

D. Alpay, H. Kaptanoğlu, 2002 .

On the intersection of null spaces for matrix substitutions in a non-commutative rational formal power series

Daniel Alpay, D. Alpay, D. S. Kalyuzhnyı̆-Verbovetzkiı̆, 2004 .

An extension of Herglotz's theorem to the quaternions

D. Alpay, F. Colombo, I. Sabadini, 2014, 1403.0079.

W-Markov measures, transfer operators, wavelets and multiresolutions

D. Alpay, I. Lewkowicz, P. Jorgensen, 2016, 1606.07692.

On Nudel’man’s Problem and Indefinite Interpolation in the Generalized Schur and Nevanlinna Classes

D. Alpay, A. Dijksma, J. Rovnyak, 2020 .

Corrigendum to “Notes on interpolation in the generalized Schur class. II. Nudel’man’s problem”

D. Alpay, A. Dijksma, J. Rovnyak, 2001, Transactions of the American Mathematical Society.

Self-mappings of the quaternionic unit ball: multiplier properties, Schwarz-Pick inequality, and Nevanlinna--Pick interpolation problem

D. Alpay, V. Bolotnikov, F. Colombo, 2013, 1308.2658.

Rigidity, boundary interpolation and reproducing kernels

S. Reich, D. Alpay, D. Shoikhet, 2007, 0709.2504.

On the tangential interpolation problem for ₂ functions

D. Alpay, V. Bolotnikov, Y. Peretz, 1995 .

Bicomplex and Hyperbolic Numbers

D. Alpay, D. Struppa, M. Shapiro, 2014 .

The $H^\infty$ functional calculus based on the $S$-spectrum for quaternionic operators and for $n$-tuples of noncommuting operators

D. Alpay, Tao Qian, F. Colombo, 2015, 1511.07629.

Functions of the infinitesimal generator of a strongly continuous quaternionic group

D. Alpay, F. Colombo, J. Gantner, 2015, 1502.02954.

New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry

D. Alpay, P. Jorgensen, 2020, Opuscula Mathematica.

Coisometically Valued Rational Matrix Functions

D. Alpay, M. Rakowski, 1995 .

“Wrong” Side Interpolation by Positive Real Rational Functions

D. Alpay, I. Lewkowicz, 2018 .

Realizations of Slice Hyperholomorphic Generalized Contractive and Positive Functions

D. Alpay, I. Lewkowicz, F. Colombo, 2013, 1310.1035.

The positive real lemma and construction of all realizations of generalized positive rational functions

Izchak Lewkowicz, Daniel Alpay, D. Alpay, 2010, Syst. Control. Lett..

Convex Cones of Generalized Positive Rational Functions and Nevanlinna-Pick Interpolation

Izchak Lewkowicz, Daniel Alpay, D. Alpay, 2010, 1010.0546.

An easy-to-compute factorization of rational generalized positive functions

Izchak Lewkowicz, Daniel Alpay, D. Alpay, 2010, Syst. Control. Lett..

Boundary interpolation in the ball

D. Alpay, C. Dubi, 2002 .

On a Polyanalytic Approach to Noncommutative de Branges–Rovnyak Spaces and Schur Analysis

D. Alpay, F. Colombo, I. Sabadini, 2020, Integral Equations and Operator Theory.

Interpolation, Schur Functions and Moment Problems

D. Alpay, I. Gohberg, 2005 .

Discrete Analogs of Canonical Systems with Pseudo-exponential Potential. Inverse Problems

Israel Gohberg, Daniel Alpay, D. Alpay, 2005 .

Reproducing Kernel Quaternionic Pontryagin Spaces

D. Alpay, M. Shapiro, 2004 .

Gleason's problem and tangential homogeneous interpolation for hyperholomorphic quaternionic functions

D. Alpay, M. Shapiro, 2003 .

Infinite-order Differential Operators Acting on Entire Hyperholomorphic Functions

D. Alpay, D. Struppa, F. Colombo, 2020, The Journal of Geometric Analysis.

Noncommutative Analysis, Operator Theory and Applications

D. Alpay, J. Sauvageot, F. Cipriani, 2016 .

Discrete analytic functions, structured matrices and a new family of moment problems

D. Alpay, D. Volok, F. Colombo, 2022, Bulletin des Sciences Mathématiques.

Boundary interpolation and rigidity for generalized Nevanlinna functions

S. Reich, D. Alpay, H. Langer, 2010 .

Pairs of selfadjoint operators and their invariants

D. Alpay, I. Gohberg, 2005 .

Some Extensions of Loewner's Theory of Monotone Operator Functions

D. Alpay, V. Bolotnikov, A. Dijksma, 2002 .

Interpolation theory in sectorial Stieltjes classes and explicit system solutions

D. Alpay, E. Tsekanovskiĭ, 2000 .

On the Nevanlinna-Pick interpolation problem for generalized stieltjes functions

D. Alpay, V. Bolotnikov, A. Dijksma, 1998 .

The Partial Trigonometric Moment Problem on an Interval: The Matrix Case

Philippe Loubaton, Daniel Alpay, P. Loubaton, 1995 .

The two-sided residue interpolation in the stieltjes class for matrix functions

D. Alpay, L. Rodman, I. Gohberg, 1994 .

The tangential trigonometric moment problem on an interval and related topics

P. Loubaton, D. Alpay, 1993 .

State space theory of automorphisms of rational matrix functions

D. Alpay, L. Rodman, I. Gohberg, 1992 .

Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces

Daniel Alpay, Aad Dijksma, James Rovnyak, 1997 .

Moment problems in an infinite number of variables

D. Alpay, P. Jorgensen, D. Kimsey, 2015 .

Inverse problem for Sturm-Liouville operators with rational reflection coefficient

D. Alpay, I. Gohberg, 1998 .

Inverse Spectral Problem for Differential Operators with Rational Scattering Matrix Functions

D. Alpay, I. Gohberg, 1995 .

On a Class of Quaternionic Positive Definite Functions and Their Derivatives

D. Alpay, F. Colombo, I. Sabadini, 2017 .

Krein–Langer Factorization and Related Topics in the Slice Hyperholomorphic Setting

D. Alpay, F. Colombo, I. Sabadini, 2012, The Journal of Geometric Analysis.

Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions

D. Alpay, F. Colombo, I. Sabadini, 2012, 1203.0234.

Quaternion-valued positive definite functions on locally compact Abelian groups and nuclear spaces

Irene Sabadini, Fabrizio Colombo, David P. Kimsey, 2016, Appl. Math. Comput..

Realization of tensor product and of tensor factorization of rational functions

D. Alpay, I. Lewkowicz, 2018, Quantum Studies: Mathematics and Foundations.

Operators , Functions and Linear Systems

M. A. Kaashoek, D. Alpay, S. T. Horst, 2013 .

Inverse problems associated to a canonical differential system

D. Alpay, I. Gohberg, 2001 .

Interpolation Theory, Systems Theory and Related Topics

Israel Gohberg, Daniel Alpay, Victor Vinnikov, 2012 .

White noise space analysis and multiplicative change of measures

Daniel Alpay, Palle Jorgensen, Motke Porat, 2021, Journal of Mathematical Physics.

Fock and Hardy spaces: Clifford Appell case

D. Alpay, I. Sabadini, K. Diki, 2020, Mathematische Nachrichten.

Holomorphic functions, relativistic sum, Blaschke products and superoscillations

Irene Sabadini, Fabrizio Colombo, Daniel Alpay, 2021, Analysis and Mathematical Physics.

Tangential interpolation with symmetries and two-point interpolation problem for matrix-valued H2-functions

D. Alpay, L. Rodman, V. Bolotnikov, 1998 .

A Hilbert space approach to bounded analytic extension in the ball

D. Alpay, V. Vinnikov, M. Putinar, 2003 .

Gleason’s problem, rational functions and spaces of left-regular functions: The split-quaternion setting

D. Alpay, D. Struppa, M. Shapiro, 2018 .

Gleason’s problem, rational functions and spaces of left-regular functions: The split-quaternion setting

D. Alpay, D. Struppa, M. Shapiro, 2018, Israel Journal of Mathematics.

Adaptative Decomposition: The Case of the Drury–Arveson Space

Tao Qian, Irene Sabadini, Fabrizio Colombo, 2016, 1604.07047.

Toeplitz Operators on Arveson and Dirichlet Spaces

D. Alpay, H. Kaptanoğlu, 2007 .

Rational hyperholomorphic functions in R4

D. Alpay, M. Shapiro, D. Volok, 2005 .

Carathéodory-Fejér interpolation in the ball☆

D. Alpay, C. Dubi, 2003 .

Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem

D. Alpay, H. Kaptanoğlu, 2002 .

The Schur algorithm and reproducing kernel Hilbert spaces in the ball

D. Alpay, V. Bolotnikov, H. Kaptanoğlu, 2002 .

Integral formulas for a sub-Hardy Hilbert space on the ball with complete Nevanlinna–Pick reproducing kernel

D. Alpay, H. Kaptanoğlu, 2001 .

University of Groningen A Beurling – Lax type theorem in the unit ball Alpay

D. Alpay, A. Dijksma, J. Rovnyak, 2018 .

Adaptive orthonormal systems for matrix-valued functions

D. Alpay, I. Sabadini, F. Colombo, 2015, 1511.07834.

A Theorem of Beurling-sLax Type for Hilbert Spaces of Functions Analytic in the Unit Ball

D. Alpay, A. Dijksma, J. Rovnyak, 2003 .

Backward shift operator and finite dimensional de Branges Rovnyak spaces in the ball

Daniel Alpay, Chen Dubi, D. Alpay, 2003 .

The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum

D. Alpay, F. Colombo, D. Kimsey, 2014, 1409.7010.

Carath\'eodory functions on Riemann surfaces and reproducing kernel spaces

D. Alpay, V. Vinnikov, A. Pinhas, 2019, 1912.03542.

Reproducing Kernel Hilbert Spaces of Polyanalytic Functions of Infinite Order

Irene Sabadini, Fabrizio Colombo, Daniel Alpay, 2021, Integral Equations and Operator Theory.

Interpolation with symmetry and a Herglotz theorem in the bicomplex setting

D. Alpay, I. Lewkowicz, M. Vajiac, 2023, Journal of Mathematical Analysis and Applications.

On pseudo-spectral factorization over the complex numbers and quaternions

D. Alpay, I. Lewkowicz, F. Colombo, 2020, 2004.10524.

Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions

D. Alpay, F. Colombo, I. Sabadini, 2013, Journal d'Analyse Mathématique.

Stochastic Processes Induced by Singular Operators

D. Alpay, P. Jorgensen, 2011, 1109.5273.

Positive definite functions and dual pairs of locally convex spaces

D. Alpay, S. Gabriyelyan, 2018 .

Generalized Fock spaces and the Stirling numbers

D. Alpay, Motke Porat, 2018, Journal of Mathematical Physics.

FA ] 3 0 M ay 2 01 8 GENERALIZED FOCK SPACES AND THE STIRLING NUMBERS

D. Alpay, Motke Porat, 2018 .

Discrete analytic Schur functions

Daniel Alpay, Dan Volok, D. Alpay, 2021, 2106.04000.

Nonstationary analogues of the Herglotz representation theorem for unbounded operators

D. Alpay, V. Bolotnikov, A. Dijksma, 2002 .

Nonstationary Analogs of the Herglotz Representation Theorem: The Discrete Case

D. Alpay, A. Dijksma, Y. Peretz, 1999 .

Computations of Definite Integrals Using the Residue Theorem

D. Alpay, 2011 .

Some Remarks on Reproducing Kernel Krein Spaces

Daniel Alpay, D. Alpay, 1991 .

Holomorphic Operators Between Krein Spaces and the Number of Squares of Associated Kernels

D. Alpay, A. Dijksma, J. V. D. Ploeg, 1992 .

A dilation theoretic approach to approximation by inner functions

D. Alpay, Poornendu Kumar, Abhay Jindal, 2022, Bulletin of the London Mathematical Society.

About a Non-Standard Interpolation Problem

D. Alpay, A. Yger, 2018, Computational methods in Function Theory.

About a Non-Standard Interpolation Problem

D. Alpay, A. Yger, 2017, Computational Methods and Function Theory.

Interpolation Problems for Certain Classes of Slice Hyperholomorphic Functions

D. Alpay, V. Bolotnikov, F. Colombo, 2016 .

A NEW FAMILY OF TOPOLOGICAL RINGS WITH APPLICATIONS IN LINEAR SYSTEM THEORY

D. Alpay, Guy Salomon, 2011, 1106.5746.

An Interpolation Problem for Functions with Values in a Commutative Ring

D. Alpay, H. Attia, 2011, 1104.1603.

Representation Formulas for Hardy Space Functions Through the Cuntz Relations and New Interpolation Problems

D. Alpay, I. Lewkowicz, P. Jorgensen, 2011, 1104.0621.

Carathéodory Fejér interpolation in the ball with mixed derivatives

D. Alpay, C. Dubi, 2004 .

Two-sided residue interpolation in matrix H2 spaces with symmetries: conformal conjugate involutions

D. Alpay, L. Rodman, V. Bolotnikov, 2002 .

One-sided tangential interpolation for operator-valued Hardy functions on polydisks

D. Alpay, L. Rodman, V. Bolotnikov, 1999 .

On the tangential interpolation problem for matrix-valued ₂-functions of two variables

D. Alpay, V. Bolotnikov, 1999 .

On Bitangential Interpolation in the Time-Varying Setting for Hilbert–Schmidt Operators: The Continuous Time Case☆

D. Alpay, V. Bolotnikov, Y. Peretz, 1998 .

On two-sided interpolation for upper triangular Hilbert-Schmidt operators

D. Alpay, V. Bolotnikov, 1998 .

Dissipative periodic systems and symmetric interpolation in Schur classes

P. Loubaton, D. Alpay, V. Bolotnikov, 1997 .

One Two-Sided Residue Interpolation for Matrix-ValuedH2-Functions with Symmetries

P. Loubaton, D. Alpay, V. Bolotnikov, 1996 .

Two-sided interpolation for matrix functions with entries in the hardy space

D. Alpay, V. Bolotnikov, 1995 .

Inverse spectral problems for difference operators with rational scattering matrix function

Israel Gohberg, Daniel Alpay, D. Alpay, 1994 .

Basic Boundary Interpolation for Generalized Schur Functions and Factorization of Rational J-unitary Matrix Functions

D. Alpay, H. Langer, A. Dijksma, 2006 .

University of Groningen Basic Boundary Interpolation for Generalized Schur Functions and Factorization of Rational J- unitary Matrix Functions Alpay,

D. Alpay, H. Langer, A. Dijksma, 2006 .

Notes on Interpolation in the Generalized Schur Class. I. Applications of Realization Theory

D. Alpay, A. Dijksma, J. Rovnyak, 2002 .

Two-sided Tangential Interpolation for Hilbert-Schmidt Operator Functions on Polydisks

D. Alpay, L. Rodman, V. Bolotnikov, 2001 .

Classical Nevanlinna-Pick Interpolation with Real Interpolation Points

D. Alpay, H. Langer, A. Dijksma, 2000 .

On a New Positive Extension Problem for Block Toeplitz Matrices

P. Loubaton, D. Alpay, V. Bolotnikov, 1998 .

An Interpolation Problem with Symmetry and Related Questions

Vladimir Bolotnikov, Daniel Alpay, P. Loubaton, 1996 .

Direct and Inverse Scattering Problem for Canonical Systems with a Strictly Pseudo – Exponential Potential

M. A. Kaashoek, D. Alpay, I. Gohberg, 2000 .

Spectral Theory for Gaussian Processes: Reproducing Kernels, Boundaries, and L2-Wavelet Generators with Fractional Scales

D. Alpay, P. Jorgensen, 2015 .

Relative reproducing kernel Hilbert spaces

D. Alpay, P. Jorgensen, D. Volok, 2014 .

A class of Gaussian processes with fractional spectral measures

D. Alpay, P. Jorgensen, David Levanony, 2010, Journal of Functional Analysis.

Beurling-Lax type theorems and Cuntz relations

D. Alpay, I. Sabadini, F. Colombo, 2021, Linear Algebra and its Applications.

Realization of tensor product and of tensor factorization of rational functions

D. Alpay, I. Lewkowicz, 2019, Quantum Studies: Mathematics and Foundations.

Boundary Interpolation for Slice Hyperholomorphic Schur Functions

D. Alpay, F. Colombo, I. Sabadini, 2014, Integral Equations and Operator Theory.

Boundary Interpolation for Slice Hyperholomorphic Schur Functions

D. Alpay, F. Colombo, I. Sabadini, 2014, 1404.3352.

C V ] 2 5 M ay 2 01 4 BOUNDARY INTERPOLATION FOR SLICE HYPERHOLOMORPHIC SCHUR FUNCTIONS

D. Alpay, F. Colombo, I. Sabadini, 2017 .

Superoscillations and Fock spaces

D. Alpay, D. Struppa, F. Colombo, 2023, Journal of Mathematical Physics.

mu-Brownian Motion, Dualities, Diffusions, Transforms, and Reproducing Kernel Hilbert Spaces

D. Alpay, P. Jorgensen, 2022, Journal of Theoretical Probability.

On Free Stochastic Processes and their Derivatives

D. Alpay, P. Jorgensen, Guy Salomon, 2013, 1311.3239.

A pr 2 00 5 Matrix-J-unitary Non-commutative Rational Formal Power Series

D. Alpay, D. S. Kalyuzhnyı̆-Verbovetzkiı̆, 2021 .

Linear Stochastic State Space Theory in the White Noise Space Setting

David Levanony, Daniel Alpay, Ariel Pinhas, 2010, SIAM J. Control. Optim..

Generalized Q-Functions and Dirichlet-To-Neumann Maps for Elliptic Differential Operators

D. Alpay, J. Behrndt, 2008, 0807.0095.

On Nudel’man’s Problem and Indefinite Interpolation in the Generalized Schur and Nevanlinna Classes

D. Alpay, A. Dijksma, J. Rovnyak, 2020, Complex Analysis and Operator Theory.

Topological convolution algebras

D. Alpay, Guy Salomon, 2012, 1204.5277.

Generalized Grassmann algebras and applications to stochastic processes

Daniel Alpay, Paula Cerejeiras, Uwe Kaehler, 2021, Mathematical Methods in the Applied Sciences.

Augmented Schur Parameters for Generalized Nevanlinna Functions and Approximation

D. Alpay, H. Langer, A. Dijksma, 2008 .

Krein systems

M. A. Kaashoek, D. Alpay, I. Gohberg, 2009, 0903.4778.

Krein Systems and Canonical Systems on a Finite Interval: Accelerants with a Jump Discontinuity at the Origin and Continuous Potentials

M. A. Kaashoek, D. Alpay, I. Gohberg, 2009, 0912.4444.

Potentials associated to rational weights

D. Alpay, I. Gohberg, 1997 .

List of Publications of L.A. Sakhnovich

D. Alpay, B. Kirstein, 2015 .

A remark on the Cowen Douglas classesBn(Ω)

D. Alpay, 1988 .

Generalized $q$-Fock spaces and structural identities

D. Alpay, P. Cerejeiras, B. Schneider, 2023, 2308.16337.

New Topological C-Algebras with Applications in Linear Systems Theory

D. Alpay, Guy Salomon, 2011 .

Connections between the Carathéodory-Toepliz and the Nehari extension problems: The discrete scalar case

D. Alpay, I. Gohberg, 2000 .

Discrete Analogs of Canonical Systems with Pseudo-exponential Potential. Definitions and Formulas for the Spectral Matrix Functions

Israel Gohberg, Daniel Alpay, D. Alpay, 2005 .

Commuting operators over Pontryagin spaces with applications to system theory

D. Alpay, V. Vinnikov, A. Pinhas, 2018, Journal of Functional Analysis.

de Branges spaces on compact Riemann surfaces and a Beurling-Lax type theorem

D. Alpay, V. Vinnikov, A. Pinhas, 2018, Advances in Mathematics.

Gleason’s problem associated to the fractional Cauchy-Riemann operator, Fueter series, Drury-Arveson space and related topics

D. Alpay, U. Kähler, P. Cerejeiras, 2017 .

Beurling-Lax type theorems in the complex and quaternionic setting: the half-space case

D. Alpay, I. Sabadini, 2015, 1509.06100.

The Schur Algorithm for Generalized Schur Functions II: Jordan Chains and Transformations of Characteristic Functions

D. Alpay, H. Langer, A. Dijksma, 2003 .

The Spectral Theorem for Unitary Operators Based on the S-Spectrum

D. Alpay, F. Colombo, I. Sabadini, 2015, Milan Journal of Mathematics.

The Spectral Theorem for Unitary Operators Based on the S-Spectrum

D. Alpay, F. Colombo, I. Sabadini, 2014, 1403.0175.

Perturbation of the generator of a quaternionic evolution operator

D. Alpay, F. Colombo, I. Sabadini, 2015 .

A New Resolvent Equation for the $$S$$S-Functional Calculus

D. Alpay, F. Colombo, I. Sabadini, 2013 .

INNER PRODUCT SPACES AND KREIN SPACES IN THE QUATERNIONIC SETTING

D. Alpay, F. Colombo, I. Sabadini, 2013, 1303.1076.

Krein reproducing kernel modules in Clifford analysis

D. Alpay, U. Kähler, P. Cerejeiras, 2021, Journal d'Analyse Mathématique.

Reproducing kernel Pontryagin spaces

D. Alpay, H. Snoo, A. Dijksma, 1998 .

A trace formula for canonical differential expressions

D. Alpay, I. Gohberg, 2003 .

State Space Method for Inverse Spectral Problems

Israel Gohberg, Daniel Alpay, D. Alpay, 1997 .

Hilbert spaces of analytic functions, inverse scattering and operator models.II

D. Alpay, H. Dym, 1985 .

White noise based stochastic calculus associated with a class of Gaussian processes

D. Alpay, David Levanony, H. Attia, 2010, 1008.0186.

Poly slice monogenic functions, Cauchy formulas and the PS-functional calculus.

D. Alpay, F. Colombo, I. Sabadini, 2020, 2011.13912.

On the global operator and Fueter mapping theorem for slice polyanalytic functions

D. Alpay, I. Sabadini, K. Diki, 2020, 2009.06542.

Finite Dimensional de Branges Spaces on Riemann Surfaces

D. Alpay, V. Vinnikov, 2002 .

On slice hyperholomorphic fractional Hardy spaces

D. Alpay, F. Colombo, I. Sabadini, 2017 .

A structure theorem for reproducing kernel Pontryagin spaces

D. Alpay, 1998 .

On a new class of reproducing kernel spaces and a new generalization of the Iohvidov laws

D. Alpay, H. Dym, 1993 .

Interpolation problems, extensions of symmetric operators and reproducing kernel spaces II

D. Alpay, H. Snoo, A. Dijksma, 1991 .

Basic Boundary Interpolation for Generalized Schur Functions and Factorization of Rational J-unitary Matrix Functions

D. Alpay, H. Langer, A. Dijksma, 2006 .

An extension problem for discrete-time almost periodically correlated stochastic processes

Philippe Loubaton, Daniel Alpay, Boris Freydin, 2000 .

Inverse Problems for First-Order Discrete Systems

D. Alpay, I. Gohberg, 2007 .

Operator theory, system theory and related topics : the Moshe Livšic anniversary volume

D. Alpay, V. Vinnikov, M. Livšic, 2001 .