One-dimensional hypergroups

DOI10.1016/0001-8708(89)90041-8zbMath0677.43003OpenAlexW1998430814MaRDI QIDQ1123342

Hansmartin Zeuner

Publication date: 1989

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(89)90041-8

zbMATH Keywords

hypergroupslocally compact spacebounded measuresSturm-Liouville hypergroup

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Ordinary differential operators (34L99)

Related Items (28)

MAXIMAL FUNCTIONS ON CHÉBLI–TRIMÈCHE HYPERGROUPS ⋮ LÉVY–KHINTCHINE REPRESENTATION ON LOCAL STURM–LIOUVILLE HYPERGROUPS ⋮ Bessel convolutions on matrix cones: Algebraic properties and random walks ⋮ Rates of convergence to Gaussian measures on \(n\)-spheres and Jacobi hypergroups ⋮ Laws of large numbers for hypergroups on \({\mathbb{R}}_+\) ⋮ Continuity of convolution semigroups on hypergroups ⋮ Compact groups having almost discrete orbit hypergroups ⋮ Positive characters on commutative hypergroups and some applications ⋮ Operational calculus and integral transforms for groups with finite propagation speed ⋮ Fourier transforms of Schwartz functions on Chébli-Trimèche hypergroups ⋮ Analysis on semihypergroups: function spaces, homomorphisms and ideals ⋮ – MULTIPLIERS ON COMMUTATIVE HYPERGROUPS ⋮ Harmonic functions on [IN and central hypergroups] ⋮ On the Fourier transformation of positive, positive definite measures on commutative hypergroups, and dual convolution structures ⋮ Free product on semihypergroups ⋮ VECTOR-VALUED THEOREM FOR THE UNCENTRED MAXIMAL OPERATOR ON BESSEL–KINGMAN HYPERGROUPS ⋮ Limit theorems for compact two-point homogeneous spaces of large dimensions ⋮ Sturm-Liouville hypergroups and asymptotics ⋮ Multiplicative operator functions and abstract Cauchy problems ⋮ Polynomial hypergroups in several variables ⋮ Moment functions and laws of large numbers on hypergroups ⋮ Hypergroups on two tori ⋮ Strong laws of large numbers for random walks associated with a class of one-dimensional convolution structures ⋮ The Chébli–Trimèche hypergroups associated with the Dunkl and Heckman–Opdam theories ⋮ A unified construction of product formulas and convolutions for Sturm-Liouville operators ⋮ A multidimensional central limit theorem for random walks on hypergroups ⋮ Invariance principles for random walks on hypergroups on \(\mathbb{R}_ +\) and \(\mathbb{N}\) ⋮ Convolution semigroups and central limit theorem associated with a dual convolution structure

Cites Work

• Transformation intégrale de Weyl et théorème de Paley-Wiener associes à un opérateur différentiel singulier sur \((0,\infty)\)
• Continuous automorphism groups on a locally compact group contracting modulo a compact subgroup and applications to stable convolution semigroups
• Spaces with an abstract convolution of measures
• The convolution structure for Jacobi function expansions
• Random walks with spherical symmetry
• Two-point homogeneous spaces
• Generalized convolutions
• Random walk on spheres
• Topologies on Spaces of Subsets
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: One-dimensional hypergroups