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.
Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations
Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations - 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: Complex Analysis and Partial Differential Equations write by Bert-Wolfgang Schulze. This book was released on 2010-03-01. Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations available in PDF, EPUB and Kindle. 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.
Introduction To Pseudo-differential Operators, An (3rd Edition)
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.
The Analysis of Linear Partial Differential Operators III
The Analysis of Linear Partial Differential Operators III - 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 The Analysis of Linear Partial Differential Operators III write by Lars Hörmander. This book was released on 2007-03-15. The Analysis of Linear Partial Differential Operators III available in PDF, EPUB and Kindle. 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.
Pseudo-differential Operators and the Nash-Moser Theorem
Pseudo-differential Operators and the Nash-Moser Theorem - 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 the Nash-Moser Theorem write by Serge Alinhac. This book was released on 2007. Pseudo-differential Operators and the Nash-Moser Theorem available in PDF, EPUB and Kindle. This book presents two essential and apparently unrelated subjects. The first, microlocal analysis and the theory of pseudo-differential operators, is a basic tool in the study of partial differential equations and in analysis on manifolds. The second, the Nash-Moser theorem, continues to be fundamentally important in geometry, dynamical systems and nonlinear PDE. Each of the subjects, which are of interest in their own right as well as for applications, can be learned separately. But the book shows the deep connections between the two themes, particularly in the middle part, which is devoted to Littlewood-Paley theory, dyadic analysis, and the paradifferential calculus and its application to interpolation inequalities. An important feature is the elementary and self-contained character of the text, to which many exercises and an introductory Chapter $0$ with basic material have been added. This makes the book readable by graduate students or researchers from one subject who are interested in becoming familiar with the other. It can also be used as a textbook for a graduate course on nonlinear PDE or geometry.
