Positive Convolution Structures Associated with Quantum Groups

Tom H. Koornwinder
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Tom H. Koornwinder: CWI

A chapter in Probability Measures on Groups X, 1991, pp 249-268 from Springer

Abstract: Abstract Hypergroups originated as abstractions of convolution algebras of measures on locally compact groups, see for instance Jewett [9]. Gelfand pairs and orthogonal systems of special functions which (for certain parameter values) can be interpreted as spherical functions on Gelfand pairs, are good sources of commutative hypergroups.

Keywords: Orthogonal Polynomial; Hopf Algebra; Quantum Group; Spherical Function; Addition Formula (search for similar items in EconPapers)
Date: 1991
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DOI: 10.1007/978-1-4899-2364-6_18

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