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20140310151459.0 |
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100301s2010 sz | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783764385149 |
|
978-3-7643-8514-9 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA370-380 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515.353 |
Edition number |
23 |
264 #1 - |
-- |
Basel : |
-- |
Birkhäuser Basel, |
-- |
2010. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Ruzhansky, Michael. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Pseudo-Differential Operators and Symmetries |
Medium |
[electronic resource] : |
Remainder of title |
Background Analysis and Advanced Topics / |
Statement of responsibility, etc |
by Michael Ruzhansky, Ville Turunen. |
300 ## - PHYSICAL DESCRIPTION |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Pseudo-Differential Operators, Theory and Applications ; |
Volume number/sequential designation |
2 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Foundations of Analysis -- Sets, Topology and Metrics -- Elementary Functional Analysis -- Measure Theory and Integration -- Algebras -- Commutative Symmetries -- Fourier Analysis on ?n -- Pseudo-differential Operators on ?n -- Periodic and Discrete Analysis -- Pseudo-differential Operators on -- Commutator Characterisation of Pseudo-differential Operators -- Representation Theory of Compact Groups -- Groups -- Topological Groups -- Linear Lie Groups -- Hopf Algebras -- Non-commutative Symmetries -- Pseudo-differential Operators on Compact Lie Groups -- Fourier Analysis on SU(2) -- Pseudo-differential Operators on SU(2) -- Pseudo-differential Operators on Homogeneous Spaces. |
520 ## - SUMMARY, ETC. |
Summary, etc |
This monograph develops a global quantization theory of pseudo-differential operators on compact Lie groups. Traditionally, the theory of pseudo-differential operators was introduced in the Euclidean setting with the aim of tackling a number of important problems in analysis and in the theory of partial differential equations. This also yields a local theory of pseudo-differential operators on manifolds. The present book takes a different approach by using global symmetries of the space which are often available. First, a particular attention is paid to the theory of periodic operators, which are realized in the form of pseudo-differential and Fourier integral operators on the torus. Then, the cases of the unitary group SU(2) and the 3-sphere are analyzed in extensive detail. Finally, the monograph also develops elements of the theory of pseudo-differential operators on general compact Lie groups and homogeneous spaces. The exposition of the book is self-contained and provides the reader with the background material surrounding the theory and needed for working with pseudo-differential operators in different settings. The background section of the book may be used for independent learning of different aspects of analysis and is complemented by numerous examples and exercises. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Topological Groups. |
|
Topical term or geographic name as entry element |
Global analysis. |
|
Topical term or geographic name as entry element |
Differential equations, partial. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Partial Differential Equations. |
|
Topical term or geographic name as entry element |
Topological Groups, Lie Groups. |
|
Topical term or geographic name as entry element |
Global Analysis and Analysis on Manifolds. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Turunen, Ville. |
Relator term |
author. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9783764385132 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-7643-8514-9 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |