A Beurling-Helson type theorem for modulation spaces

A Beurling-Helson type theorem for modulation spaces

We prove a Beurling-Helson type theorem on modulation spaces. More precisely, we show that the only 𝒞1 changes of variables that leave invariant the modulation spaces ℳp,q(ℝd) are affine functions on ℝd. A special case of our result involving the Sjöstrand algebra was considered earlier by A. Boulkh...

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Main Author: Kasso A. Okoudjou
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2009/956891
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spelling doaj-ad3562fa56d6487bbee77c78bb9f318b2020-11-25T01:12:19ZengHindawi LimitedJournal of Function Spaces and Applications0972-68022009-01-0171334110.1155/2009/956891A Beurling-Helson type theorem for modulation spacesKasso A. Okoudjou0Department of Mathematics, University of Maryland, College Park, MD, 20742, USAWe prove a Beurling-Helson type theorem on modulation spaces. More precisely, we show that the only 𝒞1 changes of variables that leave invariant the modulation spaces ℳp,q(ℝd) are affine functions on ℝd. A special case of our result involving the Sjöstrand algebra was considered earlier by A. Boulkhemair.http://dx.doi.org/10.1155/2009/956891
collection DOAJ
language English
format Article
sources DOAJ
author Kasso A. Okoudjou
spellingShingle Kasso A. Okoudjou
A Beurling-Helson type theorem for modulation spaces
Journal of Function Spaces and Applications
author_facet Kasso A. Okoudjou
author_sort Kasso A. Okoudjou
title A Beurling-Helson type theorem for modulation spaces
title_short A Beurling-Helson type theorem for modulation spaces
title_full A Beurling-Helson type theorem for modulation spaces
title_fullStr A Beurling-Helson type theorem for modulation spaces
title_full_unstemmed A Beurling-Helson type theorem for modulation spaces
title_sort beurling-helson type theorem for modulation spaces
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
publishDate 2009-01-01
description We prove a Beurling-Helson type theorem on modulation spaces. More precisely, we show that the only 𝒞1 changes of variables that leave invariant the modulation spaces ℳp,q(ℝd) are affine functions on ℝd. A special case of our result involving the Sjöstrand algebra was considered earlier by A. Boulkhemair.
url http://dx.doi.org/10.1155/2009/956891
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