On a Hilbert module over an operator algebra and its application to harmonic analysis

DOI10.2996/kmj/1138036796zbMath0525.43005OpenAlexW1997685046MaRDI QIDQ594336

Yûichirô Kakihara

Publication date: 1983

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138036796

zbMATH Keywords

positive definite kernelsBochner theoremreproducing kernelStone theoremGramian unitary representationsHilbert A-modules

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items

Series representations and Karhunen processes ⋮ Stationary stochastic processes in a group system ⋮ A note on harmonizable and V-bounded processes

Cites Work

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