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Boundary Values of Holomorphic Functions that Belong to Hilbert Spaces Carrying Analytic Representations of Semisimple Lie Groups
Unitary irreducible representations of the discrete series for the group SU(1,1) and SU(2,2) are realized in Hilbert spaces of holomorphic functions... -
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Square Integrable Representations, Spherical Functions and Trace Formulas
This chapter deals with one of the central topics of this book. The first section contains important basic facts from the theory of representations... -
Induced Representations of Locally Compact Groups and Applications
Roughly the first half of this paper is an introductory exposition of some of the main ideas of the theory of induced representations with special... -
An algorithm for computingSU(n) invariants
An algorithm and its computer implementation for calculating the values of three types of invariants in any irreducible representation of SU ( n ) are...
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Infinite Dimensional Group Representation Theory
Let G be a Lie group, E a complete locally convex linear space over C. A continuous representation U of G on E is a homomorphism x ↦ U(x) of G into... -
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Spherical Functions on a Semi-Simple Lie Group
Let G be a connected semi-simple Lie group with finite center, G = KA P N + an Iwasawa... -
Spherical Functions—The General Theory
Historically the theory of spherical functions dates to the classical papers of É. Cartan and H. Weyl; they showed that spherical harmonics arise in...