Overview
- Provides an easy-to-read introduction to the theory of pseudo-differential operators and its more advanced aspects
- Contains a collection of necessary analytic tools which makes it excellent as a textbook on the subject
- Uniquely combines different parts of analysis and representation theory in a simple accessible form. Usually these tools are scattered over different sources
- Includes supplementary material: sn.pub/extras
Part of the book series: Pseudo-Differential Operators (PDO, volume 2)
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Keywords
Table of contents (18 chapters)
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Introduction
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Foundations of Analysis
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Representation Theory of Compact Groups
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Non-commutative Symmetries
Reviews
From the reviews:
“This book presents recent results on the global theory of pseudo-differential operators on compact Lie groups along with a bulk of background material. … this very welcomed book is a profitable read for specialists and—due to the included background material, which makes it self-contained—also for graduate students.” (R. Steinbauer, Monatshefte für Mathematik, 2013)
“The present book is devoted to the theory of pseudodifferential operators on spaces with symmetries … . Summing up, this welcome book is nicely written and looks very appealing for researchers in the fields of Euclidean and abstract harmonic analysis and pseudodifferential operators, as well as for any Ph.D. student interested in those topics.” (Fabio Nicola, Mathematical Reviews, Issue 2011 b)
“The book is devoted to a global theory of pseudo-differential operators on compact Lie groups. … In the whole, including background material and new results about operators on Lie groups, the book offers a pleasant and profitable reading to graduate students and specialists.” (Luigi Rodino, Zentralblatt MATH, Vol. 1193, 2010)
Authors and Affiliations
Bibliographic Information
Book Title: Pseudo-Differential Operators and Symmetries
Book Subtitle: Background Analysis and Advanced Topics
Authors: Michael Ruzhansky, Ville Turunen
Series Title: Pseudo-Differential Operators
DOI: https://doi.org/10.1007/978-3-7643-8514-9
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2010
Softcover ISBN: 978-3-7643-8513-2Published: 19 October 2009
eBook ISBN: 978-3-7643-8514-9Published: 29 December 2009
Series ISSN: 2297-0355
Series E-ISSN: 2297-0363
Edition Number: 1
Number of Pages: XIV, 710
Topics: Analysis, Algebra, Partial Differential Equations, Topological Groups, Lie Groups, Global Analysis and Analysis on Manifolds