S. Saitoh

发表

Theory of Reproducing Kernels and Its Applications

Saburou Saitoh, Y. Sawano, S. Saitoh, 1988 .

Integral Transforms, Reproducing Kernels and Their Applications

S. Saitoh, 1997 .

Theory of Reproducing Kernels

S. Saitoh, 2003 .

Fundamental Properties of RKHS

Y. Sawano, S. Saitoh, 2016 .

Definitions and Examples of Reproducing Kernel Hilbert Spaces

Y. Sawano, S. Saitoh, 2016 .

Applications to Integral Equations

Y. Sawano, S. Saitoh, 2016 .

Applications to Partial Differential Equations

Y. Sawano, S. Saitoh, 2016 .

Real Inversion Formulas of the Laplace Transform

Y. Sawano, S. Saitoh, 2016 .

Applications to Ordinary Differential Equations

Y. Sawano, S. Saitoh, 2016 .

Moore Penrose Generalized Inverses and Tikhonov Regularization

Y. Sawano, S. Saitoh, 2016 .

A Reproducing Kernel Theory with Some General Applications

S. Saitoh, 2015 .

Reproducing Kernels and a Family of Bounded Linear Operators

S. Saitoh, 2003 .

Inequalities in the most simple Sobolev space and convolutions of ₂ functions with weights

S. Saitoh, 1993 .

Representations of the norms in bergman-selberg spaces on strips and half planes *

S. Saitoh, 1992 .

Quadratic inequalities deduced from the theory of reproducing kernels

S. Saitoh, 1987 .

Fundamental Error Estimate Inequalities for the Tikhonov Regularization Using Reproducing Kernels

Hiroshi Fujiwara, Akira Yamada, Yoshihiro Sawano, 2012 .

Analytic Extension Formulas, Integral Transforms and Reproducing Kernels

Saburou Saitoh, S. Saitoh, 2000 .

Physics and Division by Zero Calculus

S. Saitoh, 2020 .

Representations of the Division by Zero Calculus by Means of Mean Values

S. Saitoh, 2020 .

The Rudin kernels on an arbitrary domain.

S. Saitoh, 1979 .

$$\log 0 = \log \infty = 0$$ and Applications

S. Saitoh, H. Michiwaki, T. Matuura, 2017 .

Matrices and Division by Zero z/0 = 0

S. Saitoh, T. Matsuura, 2016 .

Division by Zero Calculus for Differentiable Functions L'Hôpital's Theorem Versions

S. Saitoh, 2020 .

Ankur Tiwari's Great Discovery of the Division by Zero $1/0 = \tan (\pi/2) = 0$ on $ 2011$

S. Saitoh, Yoshinori Saitoh, 2020 .

Division by Zero Calculus For Differentiable Functions in Multiply Dimensions

S. Saitoh, 2020 .

Division by Zero Calculus and Laplace Transform

S. Saitoh, 2020 .

Division by Zero Calculus and Euclidean Geometry - Revolution in Euclidean Geometry

S. Saitoh, H. Okumura, 2020 .

Differential Quotients and Division by Zero

S. Saitoh, 2020 .

Isometrical identities for the Bergman and the Szegö spaces on a sector

Hiroaki Aikawa, Saburou Saitoh, Nakao Hayashi, 1991 .

ON SUFFICIENT CONDITIONS FOR CARATHEODORY FUNCTIONS

S. Saitoh, M. Jayamala, V. Ravichandran, 2006 .

Applications to Integral Equations

Y. Sawano, S. Saitoh, 2016 .

Aveiro Discretization Method in Mathematics: A New Discretization Principle

L. P. Castro, M. M. Rodrigues, S. Saitoh, 2014 .

Some fundamental interpolation problems for analytic and harmonic functions of class L2

S. Saitoh, 1984 .

Norm Inequalities for One Dimensional Sobolev Hilbert Spaces (An Extension)

S. Saitoh, 2022 .

Real inversion formulas and numerical experiments of the Laplace transform by using the theory of reproducing kernels

Saburou Saitoh, Tsutomu Matsuura, S. Saitoh, 2010 .

NUMERICAL CAUCHY PROBLEMS FOR THE LAPLACE EQUATION

S. Saitoh, M. Yamamoto, T. Matsuura, 2009 .

ANALYTICAL AND NUMERICAL REAL INVERSION FORMULAS OF THE LAPLACE TRANSFORM

S. Saitoh, T. Matsuura, 2009 .

Analytic Extension Formulas and their Applications

S. Saitoh, Masahiro Yamamoto, N. Hayashi, 2001 .

What Was Division by Zero?; Division by Zero Calculus and New World

Saburou Saitoh, S. Saitoh, 2019 .

Mirror Images and Division by Zero Calculus

S. Saitoh, 2020 .

Division by Zero Calculus in Ford Circles

S. Saitoh, 2020 .

Division by Zero Calculus, Derivatives and Laurent's Expansion

S. Saitoh, 2020 .

Division by Zero Calculus in Trigonometric Functions

S. Saitoh, 2019 .

We Can Divide the Numbers and Analytic Functions by Zero\\ with a Natural Sense.

S. Saitoh, 2019 .

Mysterious Properties of the Point at Infinity

S. Saitoh, 2017, 1712.09467.

The Descartes circles theorem and division by zero calculus

S. Saitoh, H. Okumura, 2017, 1711.04961.

Division by Zero z/0 = 0 in Euclidean Spaces

S. Saitoh, H. Michiwaki, H. Okumura, 2017 .

Relations of 0 and

S. Saitoh, T. Matsuura, H. Okumura, 2017 .

CONTROLS OF THE OUTPUTS BY MEANS OF INPUTS (Operator Inequalities and related topics)

Saburou Saitoh, S. Saitoh, 1999 .

Reproducing kernels and the Tikhonov regularization(Solution methods by computers in analysis)

S. Saitoh, 2007 .

Constructions of Approximate Solutions for Linear Differential Equations by Reproducing Kernels and Inverse Problems

Saburou Saitoh, Tsutomu Matsuura, M. Asaduzzaman, 2005 .

Dirichlet’s Problem by Using Computers with the Theory of Reproducing Kernels

S. Saitoh, T. Matsuura, 2015 .

REVERSE CONVOLUTION INEQUALITIES AND APPLICATIONS TO INVERSE HEAT SOURCE PROBLEMS

Masahiro Yamamoto, Vu Kim Tuan, Saburou Saitoh, 2002 .

Operator Equations and Best Approximation Problems in Reproducing Kernel Hilbert Spaces with Tikhonov Regularization

Saburou Saitoh, Tsutomu Matsuura, M. Asaduzzaman, 2005 .

Reproducing Kernels and their Applications

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

Representations of Analytic Functions on Typical Domains in Terms of Local Values and Truncation Error Estimates

S. Saitoh, M. Asaduzzaman, K. Amano, 2001 .

CONVOLUTION INEQUALITIES AND APPLICATIONS

Masahiro Yamamoto, Vu Kim Tuan, Saburou Saitoh, 2003 .

Special Topics on Reproducing Kernels

Yoshihiro Sawano, Saburou Saitoh, Y. Sawano, 2016 .

A reproducing kernel Hilbert space constructive approximation for integral equations with Toeplitz and Hankel kernels

L. P. Castro, A. S. Silva, S. Saitoh, 2014 .

Numerical solutions of linear singular integral equations by means of tikhonov regularization and reproducing kernels

L. P. Castro, S. Saitoh, H. Itou, 2012 .

Refined generalizations of the triangle inequality on Banach spaces

S. Saitoh, J. Rassias, Sin-Ei Takahasi, 2010 .

Explicit and direct representations of the solutions of nonlinear simultaneous equations (Applications of Reproducing Kernels)

S. Saitoh, M. Yamada, 2008 .

Analytical and Numerical Solutions of Linear Singular Integral Equations

S. Saitoh, H. Itou, 2007 .

Representations of Inverse Functions by the Integral Transform with the Sign Kernel

S. Saitoh, Masato Yamada, T. Matsuura, 2007 .

Some inequalities for entire functions

S. Saitoh, 1980 .

Best approximation, Tikhonov regularization and reproducing kernels

Saburou Saitoh, S. Saitoh, 2005 .

Discrete linear differential equations

Y. Sawano, S. Saitoh, A. S. Silva, 2012 .

Applications of the General Theory of Reproducing Kernels

S. Saitoh, 1999 .

Singular integral inequalities and natural regularizations

Y. Sawano, S. Saitoh, Masato Yamada, 2010 .

Reality of the Division by Zero z / 0 = 0

S. Saitoh, Masato Yamada, H. Michiwaki, 2016 .

How to Catch Smoothing Properties and Analyticity of Functions by Computers

Tao Qian, Hiroshi Fujiwara, Luis P. Castro, 2014 .

History of the Division by Zero Calculus

S. Saitoh, 2021 .

Quadratic Fourier Transforms

S. Saitoh, N. Tuan, M. R. Haque, 2014 .

Optimal and Approximate Solutions of Singular Integral Equations by Means of Reproducing Kernels

S. Saitoh, L. Castro, 2013 .

Analyticity and global existence of small solutions to some nonlinear Schrödinger equations

S. Saitoh, N. Hayashi, 1990 .

Analyticity and smoothing effect for the Schrödinger equation

Saburou Saitoh, Nakao Hayashi, S. Saitoh, 1990 .

NEW MEANINGS OF THE DIVISION BY ZERO AND INTERPRETATIONS ON $100/0= 0$ AND ON $0/0=0$

S. Saitoh, M. Kuroda, S. Saitoh, 2014 .

Error estimates of the real inversion formulas of the laplace transform

S. Saitoh, Masahiro Yamamoto, K. Amano, 1998 .

The weierstrass transform and an isometry in the heat equation

S. Saitoh, 1983 .

Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case

S. Saitoh, P. D. Tuan, N. Tuan, 2015 .

Probability and Stochastic Analysis in Reproducing Kernels and Division by Zero Calculus

S. Saitoh, T. Matsuura, H. Okumura, 2020 .

Philosophy of Mathematics and Division by Zero

S. Saitoh, 2020 .

A Conjecture On Some ds Periods On The Complex Plane

S. Saitoh, 2020 .

D\"aumler's Horn Torus Model and\\ Division by Zero \\ - Absolute Function Theory -\\ New World

S. Saitoh, 2019 .

A Meaning and Interpretation of Minus Areas of Figures by Means of Division by Zero

S. Saitoh, 2019 .

Horn Torus Models for the Riemann Sphere and Division by Zero

S. Saitoh, H. Okumura, V. V. Puha, 2019 .

Zero and Infinity; Their Interrelation by Means of Division by Zero

S. Saitoh, 2019 .

DIVISION BY ZERO CALCULUS IN FIGURES – OUR NEW SPACE SINCE EUCLID –

S. Saitoh, 2021 .

Spectrum of Functions in Orlicz Spaces

P. Nevai, S. Saitoh, H. H. Bang, 1997 .

A Bessel differential heat initial value problem in a reproducing kernel Hilbert space framework

M. M. Rodrigues, S. Saitoh, L. Castro, 2014 .

Whittaker Differential Equation Associated to the Initial Heat Problem

M. M. Rodrigues, S. Saitoh, 2015 .

Division by Zero Calculus and Differential Equations

S. Saitoh, S. Pinelas, 2017 .

The bergman space on a sector and the heat equation

S. Saitoh, N. Hayashi, H. Aikawa, 1990 .

Representations of the solutions of partial differential equations of parabolic and hyperbolic types by means of time observations

S. Saitoh, 2000 .

NEW CONVOLUTIONS AND NORM INEQUALITIES

S. Saitoh, L. Castro, 2012 .

Isometrical identities and inverse formulas in the one-dimensional heat equation

S. Saitoh, 1991 .

Isometrical identities and iverse formulas in the one-dimensional schrödinger equation

S. Saitoh, 1990 .

The exact Bergman kernel and the kernels of Szegő type

S. Saitoh, 1977 .

The kernel functions of Szegö type on Riemann surfaces

S. Saitoh, 1972 .