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Pseudo-Differential Operators and Generalized Functions

2015-04-27 Mathematics
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Release : 2015-04-27
Genre : Mathematics
Kind : eBook
Book Rating : 181/5 ( reviews)

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Book Synopsis Pseudo-Differential Operators and Generalized Functions by : Stevan Pilipović

Download or read book Pseudo-Differential Operators and Generalized Functions written by Stevan Pilipović. This book was released on 2015-04-27. Available in PDF, EPUB and Kindle. Book excerpt: 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

2013-02-26 Mathematics
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Release : 2013-02-26
Genre : Mathematics
Kind : eBook
Book Rating : 853/5 ( reviews)

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Book Synopsis Pseudo-Differential Operators, Generalized Functions and Asymptotics by : Shahla Molahajloo

Download or read book Pseudo-Differential Operators, Generalized Functions and Asymptotics written by Shahla Molahajloo. This book was released on 2013-02-26. Available in PDF, EPUB and Kindle. Book excerpt: 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

2017-05-06 Mathematics
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Release : 2017-05-06
Genre : Mathematics
Kind : eBook
Book Rating : 115/5 ( reviews)

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Book Synopsis Generalized Functions and Fourier Analysis by : Michael Oberguggenberger

Download or read book Generalized Functions and Fourier Analysis written by Michael Oberguggenberger. This book was released on 2017-05-06. Available in PDF, EPUB and Kindle. Book excerpt: 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

1998-05-20 Mathematics
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Release : 1998-05-20
Genre : Mathematics
Kind : eBook
Book Rating : 832/5 ( reviews)

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Book Synopsis Linear Theory of Colombeau Generalized Functions by : M Nedeljkov

Download or read book Linear Theory of Colombeau Generalized Functions written by M Nedeljkov. This book was released on 1998-05-20. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction To Pseudo-differential Operators, An (3rd Edition)

2014-03-11 Mathematics
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Release : 2014-03-11
Genre : Mathematics
Kind : eBook
Book Rating : 103/5 ( reviews)

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Book Synopsis Introduction To Pseudo-differential Operators, An (3rd Edition) by : Man-wah Wong

Download or read book Introduction To Pseudo-differential Operators, An (3rd Edition) written by Man-wah Wong. This book was released on 2014-03-11. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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