Pseudo-Differential Operators: Analysis, Applications and Computations
Pseudo-Differential Operators: Analysis, Applications and Computations

Author: Luigi Rodino

Publisher: Springer Science & Business Media

Published: 2011-03-13

Total Pages: 309

ISBN-13: 3034800495

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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.

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

Author: Man-wah Wong

Publisher: World Scientific Publishing Company

Published: 2014-03-11

Total Pages: 195

ISBN-13: 9814583103

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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.

Advances in Pseudo-Differential Operators
Advances in Pseudo-Differential Operators

Author: Ryuichi Ashino

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 236

ISBN-13: 3034878400

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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.

Pseudo-Differential Operators: Groups, Geometry and Applications
Pseudo-Differential Operators: Groups, Geometry and Applications

Author: M. W. Wong

Publisher: Birkhäuser

Published: 2017-01-20

Total Pages: 242

ISBN-13: 3319475126

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This volume consists of papers inspired by the special session on pseudo-differential operators at the 10th ISAAC Congress held at the University of Macau, August 3-8, 2015 and the mini-symposium on pseudo-differential operators in industries and technologies at the 8th ICIAM held at the National Convention Center in Beijing, August 10-14, 2015. The twelve papers included present cutting-edge trends in pseudo-differential operators and applications from the perspectives of Lie groups (Chapters 1-2), geometry (Chapters 3-5) and applications (Chapters 6-12). Many contributions cover applications in probability, differential equations and time-frequency analysis. A focus on the synergies of pseudo-differential operators with applications, especially real-life applications, enhances understanding of the analysis and the usefulness of these operators.

Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations
Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations

Author: Bert-Wolfgang Schulze

Publisher: Birkhäuser

Published: 2009-12-11

Total Pages: 0

ISBN-13: 9783034601979

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This volume is an outgrowth of the international workshop entitled "Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations" held at York University on August 4–8, 2008. It consists of the expository paper based on the 6-hour minicourse given by Professor Bert-Wolfgang Schulze, and sixteen papers based on lectures given at the workshop and on invitations. While the focus is on the current developments of pseudo-differential operators in the context of complex analysis and partial differential equations, other topics related to the analysis, applications and computations of pseudo-differential operators are featured.

Pseudo-Differential Operators
Pseudo-Differential Operators

Author: Hans G. Feichtinger

Publisher: Springer Science & Business Media

Published: 2008-08-11

Total Pages: 235

ISBN-13: 354068266X

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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.

Lectures on Pseudo-Differential Operators
Lectures on Pseudo-Differential Operators

Author: Alexander Nagel

Publisher: Princeton University Press

Published: 2015-03-08

Total Pages: 167

ISBN-13: 1400870488

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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.

Analysis of Pseudo-Differential Operators
Analysis of Pseudo-Differential Operators

Author: Shahla Molahajloo

Publisher: Springer

Published: 2019-05-08

Total Pages: 257

ISBN-13: 3030051684

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This volume, like its predecessors, is based on the special session on pseudo-differential operators, one of the many special sessions at the 11th ISAAC Congress, held at Linnaeus University in Sweden on August 14-18, 2017. It includes research papers presented at the session and invited papers by experts in fields that involve pseudo-differential operators. The first four chapters focus on the functional analysis of pseudo-differential operators on a spectrum of settings from Z to Rn to compact groups. Chapters 5 and 6 discuss operators on Lie groups and manifolds with edge, while the following two chapters cover topics related to probabilities. The final chapters then address topics in differential equations.