Pseudo Differential Operators And Generalized Functions

Pseudo Differential Operators And Generalized Functions Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Pseudo Differential Operators And Generalized Functions book. This book definitely worth reading, it is an incredibly well-written.

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 : 42,9 Mb
Release : 2015-04-27
Category : Mathematics
ISBN : 9783319146188

Get Book

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, Generalized Functions and Asymptotics

Shahla Molahajloo,Stevan Pilipović,Joachim Toft,M. W. Wong
Pseudo Differential Operators Generalized Functions and Asymptotics Book PDF

Author : Shahla Molahajloo,Stevan Pilipović,Joachim Toft,M. W. Wong
Publisher : Springer Science & Business Media
Page : 370 pages
File Size : 49,6 Mb
Release : 2013-02-26
Category : Mathematics
ISBN : 9783034805858

Get Book

Pseudo-Differential Operators, Generalized Functions and Asymptotics by Shahla Molahajloo,Stevan Pilipović,Joachim Toft,M. W. Wong Pdf

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.

Generalized Functions and Fourier Analysis

Michael Oberguggenberger,Joachim Toft,Jasson Vindas,Patrik Wahlberg
Generalized Functions and Fourier Analysis Book PDF

Author : Michael Oberguggenberger,Joachim Toft,Jasson Vindas,Patrik Wahlberg
Publisher : Birkhäuser
Page : 276 pages
File Size : 55,9 Mb
Release : 2017-05-06
Category : Mathematics
ISBN : 9783319519111

Get Book

Generalized Functions and Fourier Analysis by Michael Oberguggenberger,Joachim Toft,Jasson Vindas,Patrik Wahlberg Pdf

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.

Linear Theory of Colombeau Generalized Functions

M Nedeljkov,S Pilipovic,D Scarpalezos
Linear Theory of Colombeau Generalized Functions Book PDF

Author : M Nedeljkov,S Pilipovic,D Scarpalezos
Publisher : CRC Press
Page : 172 pages
File Size : 41,6 Mb
Release : 1998-05-20
Category : Mathematics
ISBN : 0582356830

Get Book

Linear Theory of Colombeau Generalized Functions by M Nedeljkov,S Pilipovic,D Scarpalezos Pdf

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.

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 : 55,6 Mb
Release : 2014-03-11
Category : Mathematics
ISBN : 9789814583107

Get Book

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.

Differential Operators of Infinite Order with Real Arguments and Their Applications

Nho H…o Dinh
Differential Operators of Infinite Order with Real Arguments and Their Applications Book PDF

Author : Nho H…o Dinh
Publisher : World Scientific
Page : 252 pages
File Size : 55,9 Mb
Release : 1994
Category : Mathematics
ISBN : 9810216114

Get Book

Differential Operators of Infinite Order with Real Arguments and Their Applications by Nho H…o Dinh Pdf

This book is devoted to the theory of infinite-order linear and nonlinear differential operators with several real arguments and their applications to problems of partial differential equations and numerical analysis.Part I develops the theory of pseudodifferential operators with real analytic symbols, the local representatives of which are linear differential operators of infinite order acting in the spaces of basic and generalized functions based on the duality of the spaces of real analytic functions and functionals. Applications to a variety of problems of PDEs and numerical analysis are given. Part II is devoted to the theory of Sobolev-Orlicz spaces of infinite order and the solvability of nonlinear partial differential equations with arbitrary nonlinearities.

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 : CRC Press
Page : 118 pages
File Size : 55,5 Mb
Release : 1991-09-17
Category : Mathematics
ISBN : 0849371589

Get Book

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.

Introduction To Pseudo-differential Operators, An (2nd Edition)

Man-wah Wong
Introduction To Pseudo differential Operators An 2nd Edition Book PDF

Author : Man-wah Wong
Publisher : World Scientific Publishing Company
Page : 150 pages
File Size : 45,7 Mb
Release : 1999-04-29
Category : Mathematics
ISBN : 9789813105423

Get Book

Introduction To Pseudo-differential Operators, An (2nd Edition) by Man-wah Wong Pdf

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.

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 : 43,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034878401

Get Book

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.

New Developments in Pseudo-Differential Operators

Luigi Rodino,M. W. Wong
New Developments in Pseudo Differential Operators Book PDF

Author : Luigi Rodino,M. W. Wong
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 50,6 Mb
Release : 2009-01-06
Category : Mathematics
ISBN : 9783764389697

Get Book

New Developments in Pseudo-Differential Operators by Luigi Rodino,M. W. Wong Pdf

This volume consists of peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held on August 13-18, 2007, and invited papers by experts in the field.

Operational Calculus and Generalized Functions

Arthur Erdelyi
Operational Calculus and Generalized Functions Book PDF

Author : Arthur Erdelyi
Publisher : Courier Corporation
Page : 112 pages
File Size : 51,7 Mb
Release : 2013-07-24
Category : Mathematics
ISBN : 9780486316321

Get Book

Operational Calculus and Generalized Functions by Arthur Erdelyi Pdf

Suitable for advanced undergraduates and graduate students, this brief monograph examines elementary and convergence theories of convolution quotients, differential equations involving operator functions, exponential functions of operators. Solutions. 1962 edition.

Lectures on Pseudo-Differential Operators

Alexander Nagel,Elias M. Stein
Lectures on Pseudo Differential Operators Book PDF

Author : Alexander Nagel,Elias M. Stein
Publisher : Princeton University Press
Page : 167 pages
File Size : 42,7 Mb
Release : 2015-03-08
Category : Mathematics
ISBN : 9781400870486

Get Book

Lectures on Pseudo-Differential Operators by Alexander Nagel,Elias M. Stein Pdf

The theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some new classes of pseudo-differential operators relevant to several complex variables and certain non-elliptic problems. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

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 : 53,6 Mb
Release : 1991-10-17
Category : Mathematics
ISBN : 9780080875453

Get Book

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.

Pseudo-differential Operators and the Nash-Moser Theorem

Serge Alinhac,Patrick Gérard
Pseudo differential Operators and the Nash Moser Theorem Book PDF

Author : Serge Alinhac,Patrick Gérard
Publisher : American Mathematical Soc.
Page : 168 pages
File Size : 48,9 Mb
Release : 2007
Category : Mathematics
ISBN : 9780821834541

Get Book

Pseudo-differential Operators and the Nash-Moser Theorem by Serge Alinhac,Patrick Gérard Pdf

This book presents two essential and apparently unrelated subjects. The first, microlocal analysis and the theory of pseudo-differential operators, is a basic tool in the study of partial differential equations and in analysis on manifolds. The second, the Nash-Moser theorem, continues to be fundamentally important in geometry, dynamical systems and nonlinear PDE. Each of the subjects, which are of interest in their own right as well as for applications, can be learned separately. But the book shows the deep connections between the two themes, particularly in the middle part, which is devoted to Littlewood-Paley theory, dyadic analysis, and the paradifferential calculus and its application to interpolation inequalities. An important feature is the elementary and self-contained character of the text, to which many exercises and an introductory Chapter $0$ with basic material have been added. This makes the book readable by graduate students or researchers from one subject who are interested in becoming familiar with the other. It can also be used as a textbook for a graduate course on nonlinear PDE or geometry.

Pseudo-Differential Operators and Symmetries

Michael Ruzhansky,Ville Turunen
Pseudo Differential Operators and Symmetries Book PDF

Author : Michael Ruzhansky,Ville Turunen
Publisher : Springer Science & Business Media
Page : 710 pages
File Size : 47,7 Mb
Release : 2009-12-29
Category : Mathematics
ISBN : 9783764385149

Get Book

Pseudo-Differential Operators and Symmetries by Michael Ruzhansky,Ville Turunen Pdf

This monograph is devoted to the development of the theory of pseudo-di?erential n operators on spaces with symmetries. Such spaces are the Euclidean space R ,the n torus T , compact Lie groups and compact homogeneous spaces. The book consists of several parts. One of our aims has been not only to present new results on pseudo-di?erential operators but also to show parallels between di?erent approaches to pseudo-di?erential operators on di?erent spaces. Moreover, we tried to present the material in a self-contained way to make it accessible for readers approaching the material for the ?rst time. However, di?erent spaces on which we develop the theory of pseudo-di?er- tial operators require di?erent backgrounds. Thus, while operators on the - clidean space in Chapter 2 rely on the well-known Euclidean Fourier analysis, pseudo-di?erentialoperatorsonthetorusandmoregeneralLiegroupsinChapters 4 and 10 require certain backgrounds in discrete analysis and in the representation theory of compact Lie groups, which we therefore present in Chapter 3 and in Part III,respectively. Moreover,anyonewhowishestoworkwithpseudo-di?erential- erators on Lie groups will certainly bene?t from a good grasp of certain aspects of representation theory. That is why we present the main elements of this theory in Part III, thus eliminating the necessity for the reader to consult other sources for most of the time. Similarly, the backgrounds for the theory of pseudo-di?erential 3 operators on S and SU(2) developed in Chapter 12 can be found in Chapter 11 presented in a self-contained way suitable for immediate use.