A product formula for orthogonal polynomials associated with infinite distance-transitive graphs

DOI10.1016/S0021-9045(02)00039-4zbMath1016.43009MaRDI QIDQ1867277

Michael Voit

Publication date: 2 April 2003

Published in: Journal of Approximation Theory (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsautomorphism groupslocally compact grouppositive definite functionsdistance transitive graphs

Mathematics Subject Classification ID

Harmonic analysis on hypergroups (43A62) Harmonic analysis and spherical functions (43A90)

Related Items (6)

Positivity of Gibbs states on distance-regular graphs ⋮ LU factorizations, \(q = 0\) limits, and \(p\)-adic interpretations of some \(q\)-hypergeometric orthogonal polynomials ⋮ \(\alpha \)-amenable hypergroups ⋮ The centre of the bidual of Fourier algebras (discrete groups) ⋮ CONTINUOUS ASSOCIATION SCHEMES AND HYPERGROUPS ⋮ Fourier algebra of a hypergroup. I

Cites Work

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• Infinite distance transitive graphs of finite valency
• On the Fourier transformation of positive, positive definite measures on commutative hypergroups, and dual convolution structures
• Harmonic analysis of probability measures on hypergroups
• Spaces with an abstract convolution of measures
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• Product and Addition Formulas for the Continuous q-Ultraspherical Polynomials
• A product formula for spherical representations of a group of automorphisms of a homogeneous tree, I

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