Ghaani Farashahi, A orcid.org/0000-0003-1580-512X (2017) Abstract Plancherel (Trace) Formulas over Homogeneous Spaces of Compact Groups. Canadian Mathematical Bulletin, 60 (1). pp. 111-121. ISSN 0008-4395
Abstract
This paper introduces a unified operator theory approach to the abstract Plancherel (trace) formulas over homogeneous spaces of compact groups. Let G be a compact group and let H be a closed subgroup of G . Let G/H be the left coset space of H in G and let μ be the normalized G -invariant measure on G/H associated with Weil’s formula. Then we present a generalized abstract notion of Plancherel (trace) formula for the Hilbert space L2(G/H,μ) .
Metadata
Item Type: | Article |
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Authors/Creators: |
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Keywords: | compact group; homogeneous space; dual space; Plancherel (trace) formula |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 11 Mar 2020 15:22 |
Last Modified: | 11 Mar 2020 15:22 |
Status: | Published |
Publisher: | Canadian Mathematical Society |
Identification Number: | 10.4153/cmb-2016-037-6 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:158250 |
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