Peter Kuchment

发表

Stabilizing inverse problems by internal data. II: non-local internal data and generic linearized uniqueness

Peter Kuchment, Dustin Steinhauer, P. Kuchment, 2014, 1407.0763.

Spectral Properties of Classical Waves in High-Contrast Periodic Media

Alexander Figotin, Peter Kuchment, P. Kuchment, 1998, SIAM J. Appl. Math..

Chapter 9: A Brief Overview of Numerical Methods

Peter Kuchment, 2013 .

The Radon Transform and Medical Imaging

Peter Kuchment, P. Kuchment, 2014, CBMS-NSF regional conference series in applied mathematics.

Identities for sin x that Came from Medical Imaging

Sergey Lvin, Peter Kuchment, P. Kuchment, 2011, The American mathematical monthly.

Three-Dimensional Image Reconstruction from Compton Camera Data

Fatma Terzioglu, Peter Kuchment, 2016, SIAM J. Imaging Sci..

Mathematics of Photoacoustic and Thermoacoustic Tomography

Peter Kuchment, Leonid A. Kunyansky, P. Kuchment, 2009, Handbook of Mathematical Methods in Imaging.

Band-Gap Structure of Spectra of Periodic Dielectric and Acoustic Media. I. Scalar Model

Alexander Figotin, Peter Kuchment, P. Kuchment, 1996, SIAM J. Appl. Math..

Deep learning for 2D passive source detection in presence of complex cargo

Peter Kuchment, Jean Ragusa, Weston Baines, 2020 .

7. The Mathematics of Photonic Crystals

Peter Kuchment, 2001, Mathematical Modeling in Optical Science.

On reconstruction formulas and algorithms for the thermoacoustic and photoacoustic tomography

Peter Kuchment, Leonid Kunyansky, Mark Agranovsky, 2007 .

Band-Gap Structure of Spectra of Periodic Dielectric and Acoustic Media. II. Two-Dimensional Photonic Crystals

Alexander Figotin, Peter Kuchment, P. Kuchment, 1996, SIAM J. Appl. Math..

Book Review: Climate modeling for scientists and engineers

Peter Kuchment, 2015 .

Differential Operators on Graphs and Photonic Crystals

Peter Kuchment, Leonid A. Kunyansky, P. Kuchment, 2002, Adv. Comput. Math..

Chapter 13: Inverse Problems with Interior Information

Peter Kuchment, 2013 .

Spectral Properties of High Contrast Band-Gap Materials and Operators on Graphs

Peter Kuchment, Leonid A. Kunyansky, P. Kuchment, 1999, Exp. Math..

Linear operators and operator-functions

Peter Kuchment, Gregory Berkolaiko, 2012 .

A Range Description for the Planar Circular Radon Transform

Peter Kuchment, Gaik Ambartsoumian, 2006, SIAM J. Math. Anal..

Three-Representation Problem in Banach Spaces

Peter Kuchment, P. Kuchment, 2021, Complex Analysis and Operator Theory.

Liouville-Riemann-Roch Theorems on Abelian Coverings

Peter Kuchment, Minh Kha, P. Kuchment, 2019, Lecture Notes in Mathematics.

Approximation by spherical waves inLp-spaces

Carlos A. Berenstein, Peter Kuchment, Mark Agranovsky, 1996 .

Range conditions for the exponential Radon transform

Peter Kuchment, P. Kuchment, L. Ehrenpreis, 1996 .

Tomography, impedance imaging, and integral geometry : 1993 AMS-SIAM Summer Seminar on the Mathematics of Tomography, Impedance Imaging, and Integral Geometry, June 7-18, 1993, Mount Holyoke College, Massachusetts

Margaret Cheney, Peter Kuchment, Eric Todd Quinto, 1994 .

Mathematics of thermoacoustic and photoacoustic tomography

Peter Kuchment, Leonid Kunyansky, P. Kuchment, 2007 .

Band-gap structure of the spectrum of periodic Maxwell operators

Alexander Figotin, Peter Kuchment, P. Kuchment, 1994 .

Compton camera imaging and the cone transform: a brief overview

Fatma Terzioglu, Peter Kuchment, Leonid Kunyansky, 2018 .

Homogeneous trees of second order Sturm-Liouville equations: A general theory and program

Peter Kuchment, P. Kuchment, 2008, 0802.3442.

Range conditions for the multidimensional exponential X-ray transform

Peter Kuchment, P. Kuchment, V Aguilar, 1995 .

2D and 3D reconstructions in acousto-electric tomography

Peter Kuchment, Leonid Kunyansky, P. Kuchment, 2010, 1011.3059.

On guided electromagnetic waves in photonic crystal waveguides

Peter Kuchment, P. Kuchment, Beng-Seong Ong, 2009, 0912.1386.

Some problems of integral geometry arising in tomography

Peter Kuchment, Eric Todd Quinto, E. T. Quinto, 2006 .

Mathematics of thermoacoustic tomography

Peter Kuchment, Leonid Kunyansky, P. Kuchment, 2007, European Journal of Applied Mathematics.

On the injectivity of the circular Radon transform

Peter Kuchment, Gaik Ambartsoumian, P. Kuchment, 2005 .

On guided waves in photonic crystal waveguides

Peter Kuchment, P. Kuchment, Beng-Seong Ong, 2004 .

Tomography and Inverse Transport Theory

John C. Schotland, Guillaume Bal, Plamen Stefanov, 2011 .

Stabilizing inverse problems by internal data

Peter Kuchment, Dustin Steinhauer, P. Kuchment, 2011, 1110.1819.

Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography with variable sound speed

Peter Kuchment, Mark Agranovsky, P. Kuchment, 2007, 0706.0598.

An overview of periodic elliptic operators

Peter Kuchment, P. Kuchment, 2015, 1510.00971.

Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs

Peter Kuchment, 2005 .

THE RANGE OF THE EXPONENTIAL RADON TRANSFORM

Sergey Lvin, Peter Kuchment, P. Kuchment, 1991 .

Critical Partitions and Nodal Deficiency of Billiard Eigenfunctions

Peter Kuchment, Uzy Smilansky, Gregory Berkolaiko, 2011, 1107.3489.

Inversion of weighted divergent beam and cone transforms

Fatma Terzioglu, Peter Kuchment, P. Kuchment, 2016, 1612.06772.

Analysis on graphs and its applications

Peter Kuchment, Pavel Exner, Alexander Teplyaev, 2008 .

Passive Detection of Small Low-Emission Sources: Two-Dimensional Numerical Case Studies

Moritz Allmaras, Peter Kuchment, J. Ragusa, 2016 .

Detecting small low emission radiating sources

Guido Kanschat, Moritz Allmaras, Peter Kuchment, 2010, 1012.3373.

Convergence of Spectra of Mesoscopic Systems Collapsing onto a Graph

Peter Kuchment, P. Kuchment, Hongbiao Zeng, 2001 .

Waves in Periodic and Random Media

Peter Kuchment, P. Kuchment, 2003 .

3D Image Reconstruction from Compton camera data

Fatma Terzioglu, Peter Kuchment, P. Kuchment, 2016, 1604.03805.

Range conditions for a spherical mean transform

Peter Kuchment, Mark Agranovsky, P. Kuchment, 2009, 0902.4272.

Mathematics of Hybrid Imaging: A Brief Review

Peter Kuchment, P. Kuchment, 2011, 1107.2447.

Synthetic focusing in ultrasound modulated tomography

Peter Kuchment, Leonid Kunyansky, P. Kuchment, 2009, 0901.2552.

Asymptotics of spectra of Neumann Lapla-cians in thin domains

Peter Kuchment, P. Kuchment, Hongbiao Zeng, 2003 .