Lectures in mathematics : Kyoto University

vol. 7

Spherical functions and spherical matrix functions on locally compact groups / by Hitoshi Shin'ya
c1974

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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^o(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
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