Harmonic Analysis on Semi-Simple Lie Groups II
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Harmonic Analysis on Semi-Simple Lie Groups II: (189 Grundlehren der mathematischen Wissenschaften)

Harmonic Analysis on Semi-Simple Lie Groups II: (189 Grundlehren der mathematischen Wissenschaften)


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Table of 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.


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Product Details
  • ISBN-13: 9783642516429
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Publisher Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Height: 229 mm
  • No of Pages: 494
  • Returnable: Y
  • Width: 152 mm
  • ISBN-10: 3642516424
  • Publisher Date: 15 Apr 2014
  • Binding: Paperback
  • Language: English
  • Returnable: Y
  • Series Title: 189 Grundlehren der mathematischen Wissenschaften


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Harmonic Analysis on Semi-Simple Lie Groups II: (189 Grundlehren der mathematischen Wissenschaften)
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Harmonic Analysis on Semi-Simple Lie Groups II: (189 Grundlehren der mathematischen Wissenschaften)
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