Reproducing Kernels And Their Applications
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Reproducing Kernels And Their Applications
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Author : S. Saitoh
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Reproducing Kernels And Their Applications written by S. Saitoh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
The First International Congress of the International Society for Analysis, its Applications and Computations (ISAAC'97) was held at the University of Delaware from 3 to 7 June 1997. As specified in the invitation of the President Professor Robert P. Gilbert of the ISAAC, we organized the session on Reproducing Kerneis and Their Applications. In our session, we presented 24 engaging talks on topics of current interest to the research community. As suggested and organized by Professor Gilbert, we hereby publish its Proceedings. Rather than restricting the papers to Congress participants, we asked the Ieading mathematicians in the field of the theory of reproducing kern eIs to submit papers. However, due to time restrietions and a compulsion to limit the Proceedings a reasonable size, we were unable to obtain a comprehensive treatment of the theory of reproducing kernels. Nevertheless, we hope this Proceedings of the First International Conference on reproducing kerneis will become a significant reference volume. Indeed, we believe that the theory of reproducing kernels will stand out as a fundamental and beautiful contribution in mathematical sciences with a broad array of applications to other areas of mathematics and science. We would like to thank Professor Robert Gilbert for his substantial contri bu tions to the Congress and to our Proceedings. We also express our sincere thanks to the staff of the University of Delaware for their manifold cooperation in organizing the Congress.
Integral Transforms Reproducing Kernels And Their Applications
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Author : Saburou Saitoh
language : en
Publisher: CRC Press
Release Date : 2020-11-25
Integral Transforms Reproducing Kernels And Their Applications written by Saburou Saitoh and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-25 with Mathematics categories.
The general theories contained in the text will give rise to new ideas and methods for the natural inversion formulas for general linear mappings in the framework of Hilbert spaces containing the natural solutions for Fredholm integral equations of the first kind.
Wavelet Theory And Its Applications
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Author : Randy K. Young
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Wavelet Theory And Its Applications written by Randy K. Young and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
The continuous wavelet transform has deep mathematical roots in the work of Alberto P. Calderon. His seminal paper on complex method of interpolation and intermediate spaces provided the main tool for describing function spaces and their approximation properties. The Calderon identities allow one to give integral representations of many natural operators by using simple pieces of such operators, which are more suited for analysis. These pieces, which are essentially spectral projections, can be chosen in clever ways and have proved to be of tremendous utility in various problems of numerical analysis, multidimensional signal processing, video data compression, and reconstruction of high resolution images and high quality speech. A proliferation of research papers and a couple of books, written in English (there is an earlier book written in French), have emerged on the subject. These books, so far, are written by specialists for specialists, with a heavy mathematical flavor, which is characteristic of the Calderon-Zygmund theory and related research of Duffin-Schaeffer, Daubechies, Grossman, Meyer, Morlet, Chui, and others. Randy Young's monograph is geared more towards practitioners and even non-specialists, who want and, probably, should be cognizant of the exciting proven as well as potential benefits which have either already emerged or are likely to emerge from wavelet theory.
Analytic Extension Formulas And Their Applications
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Author : S. Saitoh
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Analytic Extension Formulas And Their Applications written by S. Saitoh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
Analytic Extension is a mysteriously beautiful property of analytic functions. With this point of view in mind the related survey papers were gathered from various fields in analysis such as integral transforms, reproducing kernels, operator inequalities, Cauchy transform, partial differential equations, inverse problems, Riemann surfaces, Euler-Maclaurin summation formulas, several complex variables, scattering theory, sampling theory, and analytic number theory, to name a few. Audience: Researchers and graduate students in complex analysis, partial differential equations, analytic number theory, operator theory and inverse problems.
The Schur Algorithm Reproducing Kernel Spaces And System Theory
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Author : Daniel Alpay
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
The Schur Algorithm Reproducing Kernel Spaces And System Theory written by Daniel Alpay and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Computers categories.
Looks at matrix-valued Schur functions and their applications from the unifying point of view of space with reproducing kernels to study the relationship between the modeling of time-invariant dissipative linear systems and the theory of linear operators. Chapters cover reproducing kernel spaces, theory of linear systems, the Schur algorithm and the inverse scattering problem, operator models, interpolation, the indefinite case, the non-stationary case, and Riemann surfaces. Originally published in French by Societe Mathematique de France, 1998. Translated from the French by Stephen S. Wilson. Author information is not given. c. Book News Inc.
Selected Papers On Analysis And Differential Equations
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Author : American Mathematical Society
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Selected Papers On Analysis And Differential Equations written by American Mathematical Society and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
"Volume includes English translation of ten expository articles published in the Japanese journal Sugaku."
Topics In Mathematical Analysis And Applications
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Author : Themistocles M. Rassias
language : en
Publisher: Springer
Release Date : 2014-10-13
Topics In Mathematical Analysis And Applications written by Themistocles M. Rassias and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-13 with Mathematics categories.
This volume presents significant advances in a number of theories and problems of Mathematical Analysis and its applications in disciplines such as Analytic Inequalities, Operator Theory, Functional Analysis, Approximation Theory, Functional Equations, Differential Equations, Wavelets, Discrete Mathematics and Mechanics. The contributions focus on recent developments and are written by eminent scientists from the international mathematical community. Special emphasis is given to new results that have been obtained in the above mentioned disciplines in which Nonlinear Analysis plays a central role. Some review papers published in this volume will be particularly useful for a broader readership in Mathematical Analysis, as well as for graduate students. An attempt is given to present all subjects in this volume in a unified and self-contained manner, to be particularly useful to the mathematical community.
Kernel Functions And Differential Equations
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Author :
language : en
Publisher: Academic Press
Release Date : 2009-08-31
Kernel Functions And Differential Equations written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-31 with Mathematics categories.
Kernel Functions and Differential Equations
Kernel Functions And Elliptic Differential Equations In Mathematical Physics
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Author : Stefan Bergman
language : en
Publisher: Courier Corporation
Release Date : 2005-09-01
Kernel Functions And Elliptic Differential Equations In Mathematical Physics written by Stefan Bergman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-01 with Mathematics categories.
This text focuses on the theory of boundary value problems in partial differential equations, which plays a central role in various fields of pure and applied mathematics, theoretical physics, and engineering. Geared toward upper-level undergraduates and graduate students, it discusses a portion of the theory from a unifying point of view and provides a systematic and self-contained introduction to each branch of the applications it employs.
Theory Of Reproducing Kernels And Its Applications
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Author : Saburou Saitoh
language : en
Publisher: Longman
Release Date : 1988
Theory Of Reproducing Kernels And Its Applications written by Saburou Saitoh and has been published by Longman this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.