Pseudo Differential Operators Analysis Applications And Computations

Author : Luigi Rodino,M. W. Wong,Hongmei Zhu
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 40,5 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.

Author : Luigi Rodino,M. W. Wong,Hongmei Zhu
Publisher : Unknown
Page : 316 pages
File Size : 52,6 Mb
Release : 2011-03-30
Category : Electronic
ISBN : 3034800509

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Pseudo-Differential Operators by Luigi Rodino,M. W. Wong,Hongmei Zhu Pdf

Author : Bert-Wolfgang Schulze,M. W. Wong
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 43,7 Mb
Release : 2010-03-01
Category : Mathematics
ISBN : 9783034601986

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Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations by Bert-Wolfgang Schulze,M. W. Wong Pdf

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.

Author : M W Wong
Publisher : World Scientific Publishing Company
Page : 196 pages
File Size : 41,6 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.

Author : Ryuichi Ashino,Paolo Boggiatto,Man-Wah Wong
Publisher : Birkhäuser
Page : 236 pages
File Size : 48,6 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.

Author : M. W. Wong,Hongmei Zhu
Publisher : Birkhäuser
Page : 239 pages
File Size : 41,5 Mb
Release : 2017-01-20
Category : Mathematics
ISBN : 9783319475127

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Pseudo-Differential Operators: Groups, Geometry and Applications by M. W. Wong,Hongmei Zhu Pdf

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.

Author : Shahla Molahajloo,M. W. Wong
Publisher : Springer
Page : 257 pages
File Size : 43,8 Mb
Release : 2019-05-08
Category : Mathematics
ISBN : 9783030051686

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Analysis of Pseudo-Differential Operators by Shahla Molahajloo,M. W. Wong Pdf

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.

Author : Michael Ruzhansky,Ville Turunen
Publisher : Springer Science & Business Media
Page : 415 pages
File Size : 42,8 Mb
Release : 2014-01-18
Category : Mathematics
ISBN : 9783319025506

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Fourier Analysis by Michael Ruzhansky,Ville Turunen Pdf

This book is devoted to the broad field of Fourier analysis and its applications to several areas of mathematics, including problems in the theory of pseudo-differential operators, partial differential equations, and time-frequency analysis. It is based on lectures given at the international conference “Fourier Analysis and Pseudo-Differential Operators,” June 25–30, 2012, at Aalto University, Finland. This collection of 20 refereed articles is based on selected talks and presents the latest advances in the field. The conference was a satellite meeting of the 6th European Congress of Mathematics, which took place in Krakow in July 2012; it was also the 6th meeting in the series “Fourier Analysis and Partial Differential Equations.”

Author : Hans G. Feichtinger,Bernard Helffer,Michael Lamoureux,Nicolas Lerner,Joachim Toft
Publisher : Springer
Page : 214 pages
File Size : 44,5 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.

Author : Bert-Wolfgang Schulze,M. W. Wong
Publisher : Birkhäuser
Page : 0 pages
File Size : 53,8 Mb
Release : 2009-12-11
Category : Mathematics
ISBN : 3034601972

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Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations by Bert-Wolfgang Schulze,M. W. Wong Pdf

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.

Author : Xavier Saint Raymond
Publisher : Routledge
Page : 71 pages
File Size : 52,6 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.

Author : Stevan Pilipović,Joachim Toft
Publisher : Birkhäuser
Page : 290 pages
File Size : 42,8 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.

Author : Paolo Boggiatto,Luigi Rodino,Joachim Toft,M. W. Wong
Publisher : Springer Science & Business Media
Page : 246 pages
File Size : 48,9 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.

Author : Luigi Rodino,Bert-Wolfgang Schulze,Man Wah Wong
Publisher : American Mathematical Soc.
Page : 426 pages
File Size : 41,8 Mb
Release : 2007
Category : Partial differential operators
ISBN : 9780821842768

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Pseudo-Differential Operators: Partial Differential Equations and Time-Frequency Analysis by Luigi Rodino,Bert-Wolfgang Schulze,Man Wah Wong Pdf

This volume is based on lectures given at the workshop on pseudo-differential operators held at the Fields Institute from December 11, 2006 to December 15, 2006. The two main themes of the workshop and hence this volume are partial differential equations and time-frequency analysis. The contents of this volume consist of five mini-courses for graduate students and post-docs, and fifteen papers on related topics. Of particular interest in this volume are the mathematical underpinnings, applications and ramifications of the relatively new Stockwell transform, which is a hybrid of the Gabor transform and the wavelet transform. The twenty papers in this volume reflect modern trends in the development of pseudo-differential operators.

Author : Lars Hörmander
Publisher : Springer Science & Business Media
Page : 537 pages
File Size : 43,5 Mb
Release : 2007-03-15
Category : Mathematics
ISBN : 9783540499374

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The Analysis of Linear Partial Differential Operators III by Lars Hörmander Pdf

From the reviews: "Volumes III and IV complete L. Hörmander's treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject, by the author who has dominated it and made the most significant contributions in the last decades.....It is a superb book, which must be present in every mathematical library, and an indispensable tool for all - young and old - interested in the theory of partial differential operators." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 1987. "This treatise is outstanding in every respect and must be counted among the great books in mathematics. It is certainly no easy reading (...) but a careful study is extremely rewarding for its wealth of ideas and techniques and the beauty of presentation." J. Brüning in Zentralblatt MATH, 1987.