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Harmonic Analysis on Semi-Simple Lie Groups II

Author: Garth Warner
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1972.
Series: Die Grundlehren der mathematischen Wissenschaften,, 189.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Garth Warner
ISBN: 9783642516405 3642516408 9783642516429 3642516424 9783642502750 364250275X
OCLC Number: 840291981
Description: 1 online resource.
Contents: 6 Spherical Functions --
The General Theory --
6.1 Fundamentals --
6.2 Examples --
7 Topology on the Dual Plancherel Measure Introduction --
7.1 Topology on the Dual --
7.2 Plancherel Measure --
8 Analysis on a Semi-Simple Lie Group --
8.1 Preliminaries --
8.2 Differential Operators on Reductive Lie Groups and Algebras --
8.3 Central Eigendistributions on Reductive Lie Algebras and Groups --
8.4 The Invariant Integral on a Reductive Lie Algebra --
8.5 The Invariant Integral on a Reductive Lie Group --
9 Spherical Functions on a Semi-Simple Lie Group --
9.1 Asymptotic Behavior of?-Spherical Functions on a Semi-Simple Lie Group --
9.2 Zonal Spherical Functions on a Semi-Simple Lie Group --
9.3 Spherical Functions and Differential Equations --
10 The Discrete Series for a Semi-Simple Lie Group --
Existence and Exhaustion --
10.1 The Role of the Distributions?? in the Harmonic Analysis on G --
10.2 Theory of the Discrete Series --
Epilogue --
Append --
3 Some Results on Differential Equations --
3.1 The Main Theorems --
3.2 Lemmas from Analysis --
3.3 Analytic Continuation of Solutions --
3.4 Decent Convergence --
3.5 Normal Sequences of is-Polynomials --
General Notational Conventions --
List of Notations --
Guide to the Literature --
Subject Index to Volumes I and II.
Series Title: Die Grundlehren der mathematischen Wissenschaften,, 189.
Responsibility: by Garth Warner.

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