Ghaani Farashahi, A orcid.org/0000-0003-1580-512X (2020) Absolutely Convergent Fourier Series of Functions over Homogeneous Spaces of Compact Groups. Michigan Mathematical Journal, 69 (1). pp. 179-200. ISSN 0026-2285
Abstract
This paper presents a systematic study for classical aspects of functions with absolutely convergent Fourier series over homogeneous spaces of compact groups. Let G be a compact group, H be a closed subgroup of G, and μ be the normalized G-invariant measure over the left coset space G/H associated with Weil’s formula with respect to the probability measures of G and H. We introduce the abstract notion of functions with absolutely convergent Fourier series in the Banach function space L1(G/H,μ). We then present some analytic characterizations for the linear space consisting of functions with absolutely convergent Fourier series over the compact homogeneous space G/H.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | This is protected by copyright. Reproduced with permission from Michigan Mathematical Journal. |
Dates: |
|
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: | 10 Mar 2020 10:44 |
Last Modified: | 26 Mar 2020 13:13 |
Status: | Published |
Publisher: | University Of Michigan, Department of Mathematics |
Identification Number: | 10.1307/mmj/1574326881 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:158242 |