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Title: Spherical functions and spherical matrix functions on locally compact groups
Authors: Shin'ya, Hitoshi
Author's alias: 新屋, 均
Keywords: Locally compact groups
Representations of groups
Functions, Spherical
Issue Date: 1974
Publisher: Kinokuniya
Journal title: Lectures in Mathematics
Volume: 7
Table of contents: Introduction [1]
§1. Representations and their irreducibilities [8]
§2. Maximal ideals in L(G) and topologically irreducible nice representations [14]
§3. The multiplicities of irreducible representations of a compact subgroup [19]
§4. Spherical functions [25]
§5. Correspondence between representations and spherical functions [47]
§6. Irreducible representations of the algebra L°(δ) and L(δ) [52]
§7. Spherical matrix functions [56]
§8. Spherical matrix functions on connected Lie groups [64]
§9. A construction of matrix functions on a group of type G = KS [74]
References [90]
URI: http://hdl.handle.net/2433/84912
Appears in Collections:Lectures in Mathematics : Department of Mathematics, Kyoto University

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