Representations of double coset hypergroups and induced representations

DOI10.1007/BF02567801zbMath0844.43007OpenAlexW1971395551MaRDI QIDQ1911195

Peter Hermann

Publication date: 26 August 1996

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156106

zbMATH Keywords

Gelfand pairsrepresentationshomomorphismsduality theoryGelfand pairhypergroupshomogeneous treepolynomial hypergroupdouble coset hypergroup

Mathematics Subject Classification ID

Harmonic analysis on hypergroups (43A62) Analysis on (p)-adic Lie groups (22E35) Induced representations for locally compact groups (22D30) Group algebras of locally compact groups (22D15)

Related Items (1)

Moment functions on affine groups

Cites Work

• Central limit theorems for random walks on \({\mathbb{N}}_ 0\) that are associated with orthogonal polynomials
• Positive characters on commutative hypergroups and some applications
• Harmonic analysis on compact hypergroups
• Harmonic analysis on central hypergroups and induced representations
• On the Fourier transformation of positive, positive definite measures on commutative hypergroups, and dual convolution structures
• Induced representations of hypergroups
• Spaces with an abstract convolution of measures
• Induced representations and hypergroup homomorphisms
• Induced representations of C\(^*\)-algebras
• Domains of Attraction with Inner Norming on Sturm–Liouville Hypergroups
• On Gelfand Pairs Associated with Solvable Lie Groups
• Mesures Invariantes Sur Les Hypergroupes
• Induced representations and duality results for commutative hypergroups
• The Measure Algebra of a Locally Compact Hypergroup
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