Operator Theory Pseudo Differential Equations And Mathematical Physics

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Operator Theory, Pseudo-Differential Equations, and Mathematical Physics

Yuri I. Karlovich,Luigi Rodino,Bernd Silbermann,Ilya M. Spitkovsky
Operator Theory Pseudo Differential Equations and Mathematical Physics Book PDF

Author : Yuri I. Karlovich,Luigi Rodino,Bernd Silbermann,Ilya M. Spitkovsky
Publisher : Springer Science & Business Media
Page : 410 pages
File Size : 50,8 Mb
Release : 2012-10-30
Category : Mathematics
ISBN : 9783034805377

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Operator Theory, Pseudo-Differential Equations, and Mathematical Physics by Yuri I. Karlovich,Luigi Rodino,Bernd Silbermann,Ilya M. Spitkovsky Pdf

This volume is a collection of papers devoted to the 70th birthday of Professor Vladimir Rabinovich. The opening article (by Stefan Samko) includes a short biography of Vladimir Rabinovich, along with some personal recollections and bibliography of his work. It is followed by twenty research and survey papers in various branches of analysis (pseudodifferential operators and partial differential equations, Toeplitz, Hankel, and convolution type operators, variable Lebesgue spaces, etc.) close to Professor Rabinovich's research interests. Many of them are written by participants of the International workshop “Analysis, Operator Theory, and Mathematical Physics” (Ixtapa, Mexico, January 23–27, 2012) having a long history of scientific collaboration with Vladimir Rabinovich, and are partially based on the talks presented there.The volume will be of great interest to researchers and graduate students in differential equations, operator theory, functional and harmonic analysis, and mathematical physics.​

Operator Theory, Pseudo-Differential Equations, and Mathematical Physics

Yuri I. Karlovich,Luigi Rodino,Bernd Silbermann,Leiba Rodman
Operator Theory Pseudo Differential Equations and Mathematical Physics Book PDF

Author : Yuri I. Karlovich,Luigi Rodino,Bernd Silbermann,Leiba Rodman
Publisher : Birkhäuser
Page : 410 pages
File Size : 53,8 Mb
Release : 2012-10-31
Category : Mathematics
ISBN : 3034805381

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Operator Theory, Pseudo-Differential Equations, and Mathematical Physics by Yuri I. Karlovich,Luigi Rodino,Bernd Silbermann,Leiba Rodman Pdf

This volume is a collection of papers devoted to the 70th birthday of Professor Vladimir Rabinovich. The opening article (by Stefan Samko) includes a short biography of Vladimir Rabinovich, along with some personal recollections and bibliography of his work. It is followed by twenty research and survey papers in various branches of analysis (pseudodifferential operators and partial differential equations, Toeplitz, Hankel, and convolution type operators, variable Lebesgue spaces, etc.) close to Professor Rabinovich's research interests. Many of them are written by participants of the International workshop “Analysis, Operator Theory, and Mathematical Physics” (Ixtapa, Mexico, January 23–27, 2012) having a long history of scientific collaboration with Vladimir Rabinovich, and are partially based on the talks presented there.The volume will be of great interest to researchers and graduate students in differential equations, operator theory, functional and harmonic analysis, and mathematical physics.​

Elementary Introduction to the Theory of Pseudodifferential Operators

Xavier Saint Raymond
Elementary Introduction to the Theory of Pseudodifferential Operators Book PDF

Author : Xavier Saint Raymond
Publisher : Routledge
Page : 71 pages
File Size : 42,5 Mb
Release : 2018-02-06
Category : Mathematics
ISBN : 9781351452922

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Elementary Introduction to the Theory of Pseudodifferential Operators by Xavier Saint Raymond Pdf

In the 19th century, the Fourier transformation was introduced to study various problems of partial differential equations. Since 1960, this old tool has been developed into a well-organized theory called microlocal analysis that is based on the concept of the pseudo-differential operator. This book provides the fundamental knowledge non-specialists need in order to use microlocal analysis. It is strictly mathematical in the sense that it contains precise definitions, statements of theorems and complete proofs, and follows the usual method of pure mathematics. The book explains the origin of the theory (i.e., Fourier transformation), presents an elementary construcion of distribution theory, and features a careful exposition of standard pseudodifferential theory. Exercises, historical notes, and bibliographical references are included to round out this essential book for mathematics students; engineers, physicists, and mathematicians who use partial differential equations; and advanced mathematics instructors.

Pseudo-Differential Operators and Related Topics

Paolo Boggiatto,Luigi Rodino,Joachim Toft,M. W. Wong
Pseudo Differential Operators and Related Topics Book PDF

Author : Paolo Boggiatto,Luigi Rodino,Joachim Toft,M. W. Wong
Publisher : Springer Science & Business Media
Page : 246 pages
File Size : 54,6 Mb
Release : 2006-03-21
Category : Mathematics
ISBN : 9783764375140

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Pseudo-Differential Operators and Related Topics by Paolo Boggiatto,Luigi Rodino,Joachim Toft,M. W. Wong Pdf

Contains articles based on lectures given at the International Conference on Pseudo-differential Operators and Related Topics at Vaxjo University in Sweden from June 22 to June 25, 2005. Sixteen refereed articles cover a spectrum of topics such as partial differential equations, Wigner transforms, mathematical physics, and more.

Pseudo-Differential Operators and Generalized Functions

Stevan Pilipović,Joachim Toft
Pseudo Differential Operators and Generalized Functions Book PDF

Author : Stevan Pilipović,Joachim Toft
Publisher : Birkhäuser
Page : 290 pages
File Size : 42,6 Mb
Release : 2015-04-27
Category : Mathematics
ISBN : 9783319146188

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Pseudo-Differential Operators and Generalized Functions by Stevan Pilipović,Joachim Toft Pdf

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.

Pseudo-Differential Operators: Analysis, Applications and Computations

Luigi Rodino,M. W. Wong,Hongmei Zhu
Pseudo Differential Operators Analysis Applications and Computations Book PDF

Author : Luigi Rodino,M. W. Wong,Hongmei Zhu
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 46,7 Mb
Release : 2011-03-14
Category : Mathematics
ISBN : 9783034800495

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Pseudo-Differential Operators: Analysis, Applications and Computations by Luigi Rodino,M. W. Wong,Hongmei Zhu Pdf

This volume consists of eighteen peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at Imperial College London on July 13-18, 2009. Featured in this volume are the analysis, applications and computations of pseudo-differential operators in mathematics, physics and signal analysis. This volume is a useful complement to the volumes “Advances in Pseudo-Differential Operators”, “Pseudo-Differential Operators and Related Topics”, “Modern Trends in Pseudo-Differential Operators”, “New Developments in Pseudo-Differential Operators” and “Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations” published in the same series in, respectively, 2004, 2006, 2007, 2009 and 2010.

Pseudo-Differential Operators on Manifolds with Singularities

B.-W. Schulze
Pseudo Differential Operators on Manifolds with Singularities Book PDF

Author : B.-W. Schulze
Publisher : Elsevier
Page : 417 pages
File Size : 46,7 Mb
Release : 1991-10-17
Category : Mathematics
ISBN : 9780080875453

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Pseudo-Differential Operators on Manifolds with Singularities by B.-W. Schulze Pdf

The analysis of differential equations in domains and on manifolds with singularities belongs to the main streams of recent developments in applied and pure mathematics. The applications and concrete models from engineering and physics are often classical but the modern structure calculus was only possible since the achievements of pseudo-differential operators. This led to deep connections with index theory, topology and mathematical physics. The present book is devoted to elliptic partial differential equations in the framework of pseudo-differential operators. The first chapter contains the Mellin pseudo-differential calculus on R+ and the functional analysis of weighted Sobolev spaces with discrete and continuous asymptotics. Chapter 2 is devoted to the analogous theory on manifolds with conical singularities, Chapter 3 to manifolds with edges. Employed are pseudo-differential operators along edges with cone-operator-valued symbols.

Differential Equations, Asymptotic Analysis, and Mathematical Physics

Michael Demuth,Bert-Wolfgang Schulze
Differential Equations Asymptotic Analysis and Mathematical Physics Book PDF

Author : Michael Demuth,Bert-Wolfgang Schulze
Publisher : John Wiley & Sons
Page : 436 pages
File Size : 42,9 Mb
Release : 1997
Category : Mathematics
ISBN : 3055017692

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Differential Equations, Asymptotic Analysis, and Mathematical Physics by Michael Demuth,Bert-Wolfgang Schulze Pdf

This volume contains a collection of original papers, associated with the International Conference on Partial Differential Equations, held in Potsdam, July 29 to August 2, 1996. The conference has taken place every year on a high scientific level since 1991; this event is connected with the activities of the Max Planck Research Group for Partial Differential Equations at Potsdam. Outstanding researchers and specialists from Armenia, Belarus, Belgium, Bulgaria, Canada, China, France, Germany, Great Britain, India, Israel, Italy, Japan, Poland, Romania, Russia, Spain, Sweden, Switzerland, Ukraine, and the USA contribute to this volume. The main topics concern recent progress in partial differential equations, microlocal analysis, pseudo-differential operators on manifolds with singularities, aspects in differential geometry and index theory, operator theory and operator algebras, stochastic spectral analysis, semigroups, Dirichlet forms, Schrodinger operators, semiclassical analysis, and scattering theory.

Advances in Pseudo-Differential Operators

Ryuichi Ashino,Paolo Boggiatto,Man-Wah Wong
Advances in Pseudo Differential Operators Book PDF

Author : Ryuichi Ashino,Paolo Boggiatto,Man-Wah Wong
Publisher : Birkhäuser
Page : 236 pages
File Size : 51,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034878401

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Advances in Pseudo-Differential Operators by Ryuichi Ashino,Paolo Boggiatto,Man-Wah Wong Pdf

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.

Pseudodifferential Operators and Spectral Theory

M.A. Shubin
Pseudodifferential Operators and Spectral Theory Book PDF

Author : M.A. Shubin
Publisher : Springer Science & Business Media
Page : 296 pages
File Size : 51,5 Mb
Release : 2011-06-28
Category : Mathematics
ISBN : 9783642565793

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Pseudodifferential Operators and Spectral Theory by M.A. Shubin Pdf

I had mixed feelings when I thought how I should prepare the book for the second edition. It was clear to me that I had to correct all mistakes and misprints that were found in the book during the life of the first edition. This was easy to do because the mistakes were mostly minor and easy to correct, and the misprints were not many. It was more difficult to decide whether I should update the book (or at least its bibliography) somehow. I decided that it did not need much of an updating. The main value of any good mathematical book is that it teaches its reader some language and some skills. It can not exhaust any substantial topic no matter how hard the author tried. Pseudodifferential operators became a language and a tool of analysis of partial differential equations long ago. Therefore it is meaningless to try to exhaust this topic. Here is an easy proof. As of July 3, 2000, MathSciNet (the database of the American Mathematical Society) in a few seconds found 3695 sources, among them 363 books, during its search for "pseudodifferential operator". (The search also led to finding 963 sources for "pseudo-differential operator" but I was unable to check how much the results ofthese two searches intersected). This means that the corresponding words appear either in the title or in the review published in Mathematical Reviews.

Pseudodifferential Operators and Spectral Theory

Mikhail A. Shubin
Pseudodifferential Operators and Spectral Theory Book PDF

Author : Mikhail A. Shubin
Publisher : Springer
Page : 0 pages
File Size : 49,6 Mb
Release : 1987
Category : Mathematics
ISBN : 3642968546

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Pseudodifferential Operators and Spectral Theory by Mikhail A. Shubin Pdf

The theory of pseudo differential operators (abbreviated PD~) is compara tively young; in its modern form it was created in the mid-sixties. The progress achieved with its help, however, has been so essential that without PD~ it would indeed be difficult to picture modern analysis and mathematical physics. PD~ are of particular importance in the study of elliptic equations. Even the simplest operations on elliptic operators (e. g. taking the inverse or the square root) lead out of the class of differential operators but will, under reasonable assumptions, preserve the class of PD~. A significant role is played by PD~ in the index theory for elliptic operators, where PD~ are needed to extend the class of possible deformations of an operator. PD~ appear naturally in the reduction to the boundary for any elliptic boundary problem. In this way, PD~ arise not as an end-in-themselves, but as a powerful and natural tool for the study of partial differential operators (first and foremost elliptic and hypo elliptic ones). In many cases, PD~ allow us not only to establish new theorems but also to have a fresh look at old ones and thereby obtain simpler and more transparent formulations of already known facts. This is, for instance, the case in the theory of Sobolev spaces. A natural generalization of PD~ are the Fourier integral operators (abbreviatedFIO), the first version ofwhich was the Maslov canonical operator.

Partial Differential Operators and Mathematical Physics

Michael Demuth,Bert-Wolfgang Schulze
Partial Differential Operators and Mathematical Physics Book PDF

Author : Michael Demuth,Bert-Wolfgang Schulze
Publisher : Birkhäuser
Page : 422 pages
File Size : 53,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034890922

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Partial Differential Operators and Mathematical Physics by Michael Demuth,Bert-Wolfgang Schulze Pdf

The book contains the contributions to the conference on "Partial Differential Equations" held in Holzhau (Germany) in July 1994, where outstanding specialists from analysis, geometry and mathematical physics reviewed recent progress and new interactions in these areas. Topics of special interest at the conference and which now form the core of this volume are hyperbolic operators, spectral theory for elliptic operators, eta-invariant, singular configura- tions and asymptotics, Bergman-kernel, attractors of non-autonomous evolution equations, pseudo-differential boundary value problems, Mellin pseudo- differential operators, approximation and stability problems for elliptic operators, and operator determinants. In spectral theory adiabatic and semiclassical limits, Dirichlet decoupling and domain perturbations, capacity of obstacles, limiting absorption problems, N-body scattering, and number of bound states are considered. Schrödinger operators are studied with magnetic fields, with random and with many-body potentials, and for nonlinear problems. In semigroup theory the Feller property, errors for product formulas, fractional powers of generators, and functional integration for relativistic semigroups are analyzed.

Pseudo-differential Calculus and Mathematical Physics

Michael Demuth,Elmar Schrohe,Bert-Wolfgang Schulze
Pseudo differential Calculus and Mathematical Physics Book PDF

Author : Michael Demuth,Elmar Schrohe,Bert-Wolfgang Schulze
Publisher : De Gruyter Akademie Forschung
Page : 400 pages
File Size : 51,8 Mb
Release : 1994
Category : History
ISBN : UOM:39015034382914

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Pseudo-differential Calculus and Mathematical Physics by Michael Demuth,Elmar Schrohe,Bert-Wolfgang Schulze Pdf

A major step towards the understanding of differential operators on singular manifolds consists in the construction of algebras of pseudodifferential operators that will allow the solution of natural elliptic equations in terms of parametrix constructions. This leads to questions of elliptic regularity, Fredholm and index theory.

Pseudo-Differential Operators

Hans G. Feichtinger,Bernard Helffer,Michael Lamoureux,Nicolas Lerner,Joachim Toft
Pseudo Differential Operators Book PDF

Author : Hans G. Feichtinger,Bernard Helffer,Michael Lamoureux,Nicolas Lerner,Joachim Toft
Publisher : Springer
Page : 214 pages
File Size : 42,9 Mb
Release : 2008-08-15
Category : Mathematics
ISBN : 9783540682684

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Pseudo-Differential Operators by Hans G. Feichtinger,Bernard Helffer,Michael Lamoureux,Nicolas Lerner,Joachim Toft Pdf

Pseudo-differential operators were initiated by Kohn, Nirenberg and Hörmander in the sixties of the last century. Beside applications in the general theory of partial differential equations, they have their roots also in the study of quantization first envisaged by Hermann Weyl thirty years earlier. Thanks to the understanding of the connections of wavelets with other branches of mathematical analysis, quantum physics and engineering, such operators have been used under different names as mathematical models in signal analysis since the last decade of the last century. The volume investigates the mathematics of quantization and signals in the context of pseudo-differential operators, Weyl transforms, Daubechies operators, Wick quantization and time-frequency localization operators. Applications to quantization, signal analysis and the modern theory of PDE are highlighted.

An Introduction to Pseudo-Differential Operators

M W Wong
An Introduction to Pseudo Differential Operators Book PDF

Author : M W Wong
Publisher : World Scientific Publishing Company
Page : 196 pages
File Size : 52,8 Mb
Release : 2014-03-11
Category : Mathematics
ISBN : 9789814583107

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An Introduction to Pseudo-Differential Operators by M W Wong Pdf

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.