Ghaani Farashahi, A orcid.org/0000-0003-1580-512X (2017) Trigonometric polynomials over homogeneous spaces of compact groups. Advances in Operator Theory, 2 (1). pp. 87-97. ISSN 2538-225X
Abstract
This paper presents a systematic study for trigonometric polynomials over homogeneous spaces of compact groups. Let HH be a closed subgroup of a compact group GG. Using the abstract notion of dual space G/HˆG/H^, we introduce the space of trigonometric polynomials Trig(G/H)Trig(G/H) over the compact homogeneous space G/HG/H. As an application for harmonic analysis of trigonometric polynomials, we prove that the abstract dual space of anyhomogeneous space of compact groups separates points of the homogeneous space in some sense.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Keywords: | compact homogeneous space GG-invariant measure compact group dual space unitary representation irreducible representation trigonometric polynomials |
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: | 23 Mar 2020 14:10 |
Last Modified: | 23 Mar 2020 14:10 |
Status: | Published |
Publisher: | Tusi Mathematical Research Group |
Identification Number: | 10.22034/aot.1701-1090 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:158634 |