Spectral synthesis on algebras of orthogonal polynomial series

DOI10.1007/BF01168009zbMath0609.43004MaRDI QIDQ1086768

Matthias Vogel

Publication date: 1987

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173819

zbMATH Keywords

polynomial growthorthogonal polynomialsprimary idealsspectral setsconvolution algebracommutative hypergroup

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Summability methods on groups, semigroups, etc. (43A55) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (7)

On the dual of a commutative signed hypergroup ⋮ The Wiener property for a class of discrete hypergroups ⋮ Positive characters on commutative hypergroups and some applications ⋮ \(\alpha \)-amenable hypergroups ⋮ Spectral synthesis in Fourier algebras of ultrapherical hypergroups ⋮ Duals of subhypergroups and quotients of commutative hypergroups ⋮ Orthogonal polynomials and point and weak amenability of \(\ell ^1\)-algebras of polynomial hypergroups

Cites Work

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• Bochner theorems for hypergroups and their applications to orthogonal polynomial expansions
• Opérateurs de rang fini dans les représentations unitaires
• Spectral synthesis on algebras of Jacobi polynomial series
• A Tauberian theorem and tangential convergence for bounded harmonic functions on balls in \(\mathbb{C}^n\)
• Spaces with an abstract convolution of measures
• Spectral synthesis in hypergroups
• Growth of connected locally compact groups
• Mesures Invariantes Sur Les Hypergroupes
• On positive functionals on a group algebra multiplicative on a subalgebra

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