Pseudo Differential Operators Generalized Functions And Asymptotics
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Pseudo Differential Operators Generalized Functions And Asymptotics
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Author : Shahla Molahajloo
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-02-26
Pseudo Differential Operators Generalized Functions And Asymptotics written by Shahla Molahajloo 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 2013-02-26 with Mathematics categories.
This volume consists of twenty peer-reviewed papers from the special session on pseudodifferential operators and the special session on generalized functions and asymptotics at the Eighth Congress of ISAAC held at the Peoples’ Friendship University of Russia in Moscow on August 22‒27, 2011. The category of papers on pseudo-differential operators contains such topics as elliptic operators assigned to diffeomorphisms of smooth manifolds, analysis on singular manifolds with edges, heat kernels and Green functions of sub-Laplacians on the Heisenberg group and Lie groups with more complexities than but closely related to the Heisenberg group, Lp-boundedness of pseudo-differential operators on the torus, and pseudo-differential operators related to time-frequency analysis. The second group of papers contains various classes of distributions and algebras of generalized functions with applications in linear and nonlinear differential equations, initial value problems and boundary value problems, stochastic and Malliavin-type differential equations. This second group of papers are related to the third collection of papers via the setting of Colombeau-type spaces and algebras in which microlocal analysis is developed by means of techniques in asymptotics. The volume contains the synergies of the three areas treated and is a useful complement to volumes 155, 164, 172, 189, 205 and 213 published in the same series in, respectively, 2004, 2006, 2007, 2009, 2010 and 2011.
Pseudo Differential Operators And Generalized Functions
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Author : Stevan Pilipović
language : en
Publisher: Birkhäuser
Release Date : 2015-04-27
Pseudo Differential Operators And Generalized Functions written by Stevan Pilipović and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-27 with Mathematics categories.
This book gathers peer-reviewed contributions representing modern trends in the theory of generalized functions and pseudo-differential operators. It is dedicated to Professor Michael Oberguggenberger (Innsbruck University, Austria) in honour of his 60th birthday. The topics covered were suggested by the ISAAC Group in Generalized Functions (GF) and the ISAAC Group in Pseudo-Differential Operators (IGPDO), which met at the 9th ISAAC congress in Krakow, Poland in August 2013. Topics include Columbeau algebras, ultra-distributions, partial differential equations, micro-local analysis, harmonic analysis, global analysis, geometry, quantization, mathematical physics, and time-frequency analysis. Featuring both essays and research articles, the book will be of great interest to graduate students and researchers working in analysis, PDE and mathematical physics, while also offering a valuable complement to the volumes on this topic previously published in the OT series.
Asymptotic Behavior Of Generalized Functions
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Author : Stevan Pilipovi?
language : en
Publisher: World Scientific
Release Date : 2012
Asymptotic Behavior Of Generalized Functions written by Stevan Pilipovi? and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
The asymptotic analysis has obtained new impulses with the general development of various branches of mathematical analysis and their applications. In this book, such impulses originate from the use of slowly varying functions and the asymptotic behavior of generalized functions. The most developed approaches related to generalized functions are those of Vladimirov, Drozhinov and Zavyalov, and that of Kanwal and Estrada. The first approach is followed by the authors of this book and extended in the direction of the S-asymptotics. The second approach ? of Estrada, Kanwal and Vindas ? is related to moment asymptotic expansions of generalized functions and the Ces'aro behavior. The main features of this book are the uses of strong methods of functional analysis and applications to the analysis of asymptotic behavior of solutions to partial differential equations, Abelian and Tauberian type theorems for integral transforms as well as for the summability of Fourier series and integrals. The book can be used by applied mathematicians, physicists, engineers and others who use classical asymptotic methods and wish to consider non-classical objects (generalized functions) and their asymptotics now in a more advanced setting.
Generalized Functions And Fourier Analysis
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Author : Michael Oberguggenberger
language : en
Publisher: Birkhäuser
Release Date : 2017-05-06
Generalized Functions And Fourier Analysis written by Michael Oberguggenberger and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-06 with Mathematics categories.
This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis. The volume is a collection of chapters addressing these fields, their interaction, their unifying concepts and their applications and is based on scientific activities related to the International Association for Generalized Functions (IAGF) and the ISAAC interest groups on Pseudo-Differential Operators (IGPDO) and on Generalized Functions (IGGF), notably on the longstanding collaboration of these groups within ISAAC.
Topics In Pseudo Differential Operators
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Author : S D Zaidman
language : en
Publisher: CRC Press
Release Date : 1996-10-29
Topics In Pseudo Differential Operators written by S D Zaidman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-10-29 with Mathematics categories.
This Research Note presents in a clear and detailed manner a certain group of results pertaining to some variants, extensions and generalizations on the theory of pseudo-differential operators as introduced in the pioneering work of Kohn-Nirenberg. The author presents a discussion of concepts of order, true order and asymptotic expansions for general linear operators in some vector spaces, following a pattern appearing in pseudo-differential operator theory. The book is intended mainly for an audience of operator theorists, at a fairly elementary level; its main objective a unitary presentation of articles written by the author over a number of years.
Advances In Pseudo Differential Operators
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Author : Ryuichi Ashino
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Advances In Pseudo Differential Operators written by Ryuichi Ashino and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This volume consists of the plenary lectures and invited talks in the special session on pseudo-differential operators given at the Fourth Congress of the International Society for Analysis, Applications and Computation (ISAAC) held at York University in Toronto, August 11-16, 2003. The theme is to look at pseudo-differential operators in a very general sense and to report recent advances in a broad spectrum of topics, such as pde, quantization, filters and localization operators, modulation spaces, and numerical experiments in wavelet transforms and orthonormal wavelet bases.
An Introduction To Pseudo Differential Operators
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Author : M W Wong
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-03-11
An Introduction To Pseudo Differential Operators written by M W Wong and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-11 with Mathematics categories.
The aim of this third edition is to give an accessible and essentially self-contained account of pseudo-differential operators based on the previous edition. New chapters notwithstanding, the elementary and detailed style of earlier editions is maintained in order to appeal to the largest possible group of readers. The focus of this book is on the global theory of elliptic pseudo-differential operators on Lp(Rn). The main prerequisite for a complete understanding of the book is a basic course in functional analysis up to the level of compact operators. It is an ideal introduction for graduate students in mathematics and mathematicians who aspire to do research in pseudo-differential operators and related topics.
Introduction To Pseudo Differential Operators An 2nd Edition
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Author : Man-wah Wong
language : en
Publisher: World Scientific Publishing Company
Release Date : 1999-04-29
Introduction To Pseudo Differential Operators An 2nd Edition written by Man-wah Wong and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-04-29 with Mathematics categories.
In this new edition of An Introduction to Pseudo-Differential Operators, the style and scope of the original book are retained. A chapter on the interchange of order of differentiation and integration is added at the beginning to make the book more self-contained, and a chapter on weak solutions of pseudo-differential equations is added at the end to enhance the value of the book as a work on partial differential equations. Several chapters are provided with additional exercises. The bibliography is slightly expanded and an index is added.
Linear Theory Of Colombeau Generalized Functions
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Author : M Nedeljkov
language : en
Publisher: CRC Press
Release Date : 1998-05-20
Linear Theory Of Colombeau Generalized Functions written by M Nedeljkov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-20 with Mathematics categories.
Results from the now-classical distribution theory involving convolution and Fourier transformation are extended to cater for Colombeau's generalized functions. Indications are given how these particular generalized functions can be used to investigate linear equations and pseudo differential operators. Furthermore, applications are also given to problems with nonregular data.
Asymptotics Of Operator And Pseudo Differential Equations
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Author : V.P. Maslov
language : en
Publisher: Springer
Release Date : 1988-05-31
Asymptotics Of Operator And Pseudo Differential Equations written by V.P. Maslov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-05-31 with Mathematics categories.