Coverart for item
The Resource Pseudo-differential operators and symmetries : background analysis and advanced topics, Michael Ruzhansky, Ville Turunen

Pseudo-differential operators and symmetries : background analysis and advanced topics, Michael Ruzhansky, Ville Turunen

Label
Pseudo-differential operators and symmetries : background analysis and advanced topics
Title
Pseudo-differential operators and symmetries
Title remainder
background analysis and advanced topics
Statement of responsibility
Michael Ruzhansky, Ville Turunen
Creator
Contributor
Subject
Language
eng
Summary
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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Ruzhansky, M.
Dewey number
515.7
Index
index present
LC call number
QA329.7
LC item number
.R89 2010
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Turunen, Ville
Series statement
Pseudo-differential operators, theory and applications
Series volume
v. 2
http://library.link/vocab/subjectName
  • Pseudodifferential operators
  • Pseudodifferential operators
  • Pseudodifferential operators
Label
Pseudo-differential operators and symmetries : background analysis and advanced topics, Michael Ruzhansky, Ville Turunen
Instantiates
Publication
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Introduction -- Part I Foundations of Analysis -- A Sets, Topology and Metrics -- B Elementary Functional Analysis -- C Measure Theory and Integration -- D Algebras -- Part II Commutative Symmetries -- 1 Fourier Analysis on Rn -- 2 Pseudo-differential Operators on Rn -- 3 Periodic and Discrete Analysis -- 4 Pseudo-differential Operators on Tn -- 5 Commutator Characterisation of Pseudo-differential Operators -- Part III Representation Theory of Compact Groups -- 6 Groups -- 7 Topological Groups -- 8 Linear Lie Groups -- 9 Hopf Algebras -- Part IV Non-commutative Symmetries -- 10 Pseudo-differential Operators on Compact Lie Groups -- 11 Fourier Analysis on SU(2) -- 12 Pseudo-differential Operators on SU(2) -- 13 Pseudo-differential Operators on Homogeneous Spaces -- Bibliography -- Notation -- Index
Control code
567359234
Dimensions
unknown
Extent
1 online resource (xiv, 709 pages).
Form of item
online
Isbn
9783764385149
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-7643-8514-9.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-7643-8513-2
Specific material designation
remote
System control number
(OCoLC)567359234
Label
Pseudo-differential operators and symmetries : background analysis and advanced topics, Michael Ruzhansky, Ville Turunen
Publication
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Introduction -- Part I Foundations of Analysis -- A Sets, Topology and Metrics -- B Elementary Functional Analysis -- C Measure Theory and Integration -- D Algebras -- Part II Commutative Symmetries -- 1 Fourier Analysis on Rn -- 2 Pseudo-differential Operators on Rn -- 3 Periodic and Discrete Analysis -- 4 Pseudo-differential Operators on Tn -- 5 Commutator Characterisation of Pseudo-differential Operators -- Part III Representation Theory of Compact Groups -- 6 Groups -- 7 Topological Groups -- 8 Linear Lie Groups -- 9 Hopf Algebras -- Part IV Non-commutative Symmetries -- 10 Pseudo-differential Operators on Compact Lie Groups -- 11 Fourier Analysis on SU(2) -- 12 Pseudo-differential Operators on SU(2) -- 13 Pseudo-differential Operators on Homogeneous Spaces -- Bibliography -- Notation -- Index
Control code
567359234
Dimensions
unknown
Extent
1 online resource (xiv, 709 pages).
Form of item
online
Isbn
9783764385149
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-7643-8514-9.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-7643-8513-2
Specific material designation
remote
System control number
(OCoLC)567359234

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