Harmonic analysis on central hypergroups and induced representations

DOI10.2140/pjm.1984.110.83zbMath0476.43007OpenAlexW1992860674MaRDI QIDQ1160381

Wilfried Hauenschild, Ajay Kumar, Eberhard Kaniuth

Publication date: 1984

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1984.110.83

zbMATH Keywords

inversion formulaunitary representationscharacter formulainduced representationPlancherel theoremZ-hypergroups

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

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Harmonic analysis and spectral synthesis in central hypergroups ⋮ Hypergroups and hypergroup algebras ⋮ An imprimitivity theorem for hypergroups ⋮ Representations of double coset hypergroups and induced representations ⋮ Duality of algebras with an involution and generalized shift operators ⋮ Krengel--Lin decomposition for probability measures on hypergroups. ⋮ Duals of subhypergroups and quotients of commutative hypergroups ⋮ Induced representations of hypergroups ⋮ Connectivity and supernormality results for hypergroups ⋮ Reiter's condition \((P_{2})\) and hypergroup representations