Generalized hypergroups and orthogonal polynomials

DOI10.1017/S002776300000564XzbMath0862.43006OpenAlexW1810894197MaRDI QIDQ5285316

Nobuaki Obata, Norman J. Wildberger

Publication date: 23 March 1997

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s002776300000564x

zbMATH Keywords

Fourier transformorthogonal polynomials\(C^*\)-algebracharactersPlancherel formularepresentationJacobi polynomialsGelfand theorygeneralized hypergroup

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Harmonic analysis on hypergroups (43A62) Hypergroups (20N20)

Related Items (11)

Foundations of finite group theory for a (future) computer. ⋮ Discrete series of fusion algebras ⋮ Actions of finite hypergroups. ⋮ Sylow theory for table algebras, fusion rule algebras, and hypergroups. ⋮ Preface ⋮ Permutation modules over table algebras and applications to association schemes. ⋮ On maximal actions and \(w\)-maximal actions of finite hypergroups ⋮ Generalized hypergroups and orthogonal polynomials ⋮ A hypergroup dual space can be unbounded ⋮ Table algebras ⋮ A Geometrical Framework for Amplitude Recursions: Bridging Between Trees and Loops

Cites Work

• Fusion rules and modular transformations in 2D conformal field theory
• Hypergroups and hypergroup algebras
• Positive characters on commutative hypergroups and some applications
• On table algebras and applications to finite group theory
• Table algebras and applications to products of characters in finite groups
• Spaces with an abstract convolution of measures
• A positivity result and normalization of positive convolution structures
• Convolution structures and Haar matrices
• Hypergroup structures on the set of natural numbers
• An algebraic theory of hypergroups
• Duality for finite abelian hypergroups over splitting fields
• Linearization of the Product of Jacobi Polynomials. I
• Central limit theorems for a class of polynomial hypergroups

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