Introduction To Pseudo-differential Operators, An (3rd Edition) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction To Pseudo-differential Operators, An (3rd Edition) write by Man-wah Wong. This book was released on 2014-03-11. Introduction To Pseudo-differential Operators, An (3rd Edition) available in PDF, EPUB and Kindle. 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.
Elementary Introduction to the Theory of Pseudodifferential Operators
Elementary Introduction to the Theory of Pseudodifferential Operators - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elementary Introduction to the Theory of Pseudodifferential Operators write by Xavier Saint Raymond. This book was released on 2018-02-06. Elementary Introduction to the Theory of Pseudodifferential Operators available in PDF, EPUB and Kindle. 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)
Introduction To Pseudo-differential Operators, An (2nd Edition) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction To Pseudo-differential Operators, An (2nd Edition) write by Man-wah Wong. This book was released on 1999-04-29. Introduction To Pseudo-differential Operators, An (2nd Edition) available in PDF, EPUB and Kindle. 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.
Elementary Introduction to the Theory of Pseudodifferential Operators
Elementary Introduction to the Theory of Pseudodifferential Operators - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elementary Introduction to the Theory of Pseudodifferential Operators write by Xavier Saint Raymond. This book was released on 2018-02-06. Elementary Introduction to the Theory of Pseudodifferential Operators available in PDF, EPUB and Kindle. 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.
Pseudo-Differential Operators and Symmetries
Pseudo-Differential Operators and Symmetries - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Pseudo-Differential Operators and Symmetries write by Michael Ruzhansky. This book was released on 2009-12-29. Pseudo-Differential Operators and Symmetries available in PDF, EPUB and Kindle. 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.
