A note on property (T) of orthogonal polynomials

DOI10.1007/BF01202312zbMath0781.33005MaRDI QIDQ689800

Rupert Lasser, Margit Rösler

Publication date: 15 November 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Chebyshev polynomialspolynomial hypergroupnonnegative connection coefficients

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Harmonic analysis on hypergroups (43A62)

Related Items (3)

Limit theorems for isotropic random walks on triangle buildings ⋮ A law of the iterated logarithm for Markov chains on \(\mathbb{N}_ 0\) associated with orthogonal polynomials ⋮ Invariance principles for random walks on hypergroups on \(\mathbb{R}_ +\) and \(\mathbb{N}\)

Cites Work

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• A law of the iterated logarithm for a class of polynomial hypergroups
• Linearization and connection coefficients of orthogonal polynomials
• Laws of large numbers for polynomial hypergroups and some applications
• Orthogonal Polynomials and a Discrete Boundary Value Problem I
• Orthogonal Polynomials and Hypergroups II--The Symmetric Case
• Central limit theorems for a class of polynomial hypergroups

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