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Harmonic analysis on semi-simple Lie groups

, Volume 2
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Springer-Verlag, 1972 - Mathematics - 491 pages

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Contents

Reductive Lie Algebra
93
Chapter 9
264
Spherical Functions and Differential Equations
367

7 other sections not shown

Common terms and phrases

Amer analytic function analytic subgroup Cartan subalgebra Cartan subgroup choose clear compact subset complex numbers converges Corollary corresponding defined denote the set differential operator equation finite dimensional finite number follows formula Fourier function on G given Haar measure Harish-Chandra Helgason hence Hilbert space holomorphic function Homc invariant integral irreducible representations Iwasawa decomposition Lemma Let G Lie algebra linear function locally summable mapping Math moreover neighborhood non-zero pair gc Plancherel Plancherel Theorem positive roots present number proof of Theorem Proposition reductive Lie algebra representation of G semi-simple Lie group spherical trace function subalgebra of g subgroup of G subspace suppose supra symmetric spaces TCI Banach representation topology transform unitary representation vector Weyl group whence write x e G zero zonal spherical function

Bibliographic information

QR code for Harmonic analysis on semi-simple Lie groups
TitleHarmonic analysis on semi-simple Lie groups, Volume 2
Harmonic Analysis on Semi-simple Lie Groups, Garth Warner
Volume 189 of Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen
AuthorGarth Warner
PublisherSpringer-Verlag, 1972
Original fromthe University of Michigan
DigitizedFeb 5, 2010
Length491 pages
Subjects ›  › 

Harmonic analysis
Lie groups
Mathematics / Algebra / Linear
Mathematics / Group Theory
Representations of groups
Semisimple Lie groups
  
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