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Author : Jouko Tervo
Publisher : Unknown
Page : 16 pages
File Size : 48,8 Mb
Release : 1985
Category : Pseudodifferential operators
ISBN : 9516793592
Author : Shahla Molahajloo,M. W. Wong
Publisher : Springer
Page : 257 pages
File Size : 44,6 Mb
Release : 2019-05-08
Category : Mathematics
ISBN : 9783030051686
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 : Ryuichi Ashino,Paolo Boggiatto,Man-Wah Wong
Publisher : Birkhäuser
Page : 236 pages
File Size : 55,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034878401
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
Publisher : World Scientific Publishing Company
Page : 196 pages
File Size : 52,6 Mb
Release : 2014-03-11
Category : Mathematics
ISBN : 9789814583107
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 : Mikhail A. Shubin
Publisher : Springer
Page : 0 pages
File Size : 41,8 Mb
Release : 1987
Category : Mathematics
ISBN : 3642968546
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.
Author : Man-wah Wong
Publisher : World Scientific Publishing Company
Page : 150 pages
File Size : 49,5 Mb
Release : 1999-04-29
Category : Mathematics
ISBN : 9789813105423
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.
Author : Paolo Boggiatto,Luigi Rodino,Joachim Toft,M. W. Wong
Publisher : Springer Science & Business Media
Page : 246 pages
File Size : 40,7 Mb
Release : 2006-03-21
Category : Mathematics
ISBN : 9783764375140
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 : Xavier Saint Raymond
Publisher : CRC Press
Page : 118 pages
File Size : 45,9 Mb
Release : 1991-09-17
Category : Mathematics
ISBN : 0849371589
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 : Mikhail A. Shubin
Publisher : Unknown
Page : 0 pages
File Size : 50,7 Mb
Release : 2012-02
Category : Electronic
ISBN : 3642968562
Author : Anonim
Publisher : Unknown
Page : 848 pages
File Size : 45,6 Mb
Release : 1988
Category : Differential equations, Partial
ISBN : UOM:39015016353388
Author : Luigi Rodino,M. W. Wong,Hongmei Zhu
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 48,8 Mb
Release : 2011-03-14
Category : Mathematics
ISBN : 9783034800495
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 : Mikhail Aleksandrovich Shubin
Publisher : Springer
Page : 278 pages
File Size : 41,6 Mb
Release : 1987
Category : Pseudodifferential operators
ISBN : 3540136215
Author : Anonim
Publisher : Unknown
Page : 676 pages
File Size : 53,8 Mb
Release : 1989
Category : Operator theory
ISBN : UOM:39015015701025
Author : Heinz O. Cordes
Publisher : Springer
Page : 339 pages
File Size : 40,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540384632
Author : M. W. Wong,Hongmei Zhu
Publisher : Birkhäuser
Page : 239 pages
File Size : 41,9 Mb
Release : 2017-01-20
Category : Mathematics
ISBN : 9783319475127
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.
