Positive characters on commutative hypergroups and some applications

DOI10.1007/BF01184674zbMath0677.43002MaRDI QIDQ1123341

Michael Voit

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/173934

zbMATH Keywords

Plancherel measurerandom walksHaar measureconvolution semigroupscommutative hypergroupdouble coset hypergroupspositive character

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Measure algebras on groups, semigroups, etc. (43A10)

Related Items (20)

Property A for hypergroups ⋮ Sine functions on compact commutative hypergroups ⋮ Laws of large numbers for polynomial hypergroups and some applications ⋮ Continuity of convolution semigroups on hypergroups ⋮ Representations of double coset hypergroups and induced representations ⋮ On the dual of a commutative signed hypergroup ⋮ Operational calculus and integral transforms for groups with finite propagation speed ⋮ \(\alpha \)-amenable hypergroups ⋮ CONTINUOUS ASSOCIATION SCHEMES AND HYPERGROUPS ⋮ On the Fourier transformation of positive, positive definite measures on commutative hypergroups, and dual convolution structures ⋮ On the dual space of a commutative hypergroup ⋮ Polynomial hypergroups in several variables ⋮ Duals of subhypergroups and quotients of commutative hypergroups ⋮ Moment functions and laws of large numbers on hypergroups ⋮ \(\text{SU}(d)\)-biinvariant random walks on \(\text{SL}(d,\mathbb C)\) and their Euclidean counterparts ⋮ Strictly and strongly positive definite functions on locally compact hypergroups ⋮ Sturm–Liouville operator functions ⋮ Generalized hypergroups and orthogonal polynomials ⋮ Weighted Orlicz algebras on hypergroups ⋮ A positivity result and normalization of positive convolution structures

Cites Work

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• Convolution semigroups and resolvent families of measures on hypergroups
• Spectral synthesis on algebras of orthogonal polynomial series
• One-dimensional hypergroups
• Spaces with an abstract convolution of measures
• Marches aléatoires et hypergroupes. (Random walks and hypergroups)
• Sur un théorème de Paley-Wiener associe à la décomposition spectrale d'un opérateur de Sturm-Liouville sur \([0, \infty\)]
• Random walks with spherical symmetry
• Mesures Invariantes Sur Les Hypergroupes
• l 1-Convolution algebras: Representation and factorization
• On positive functionals on a group algebra multiplicative on a subalgebra

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