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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
|
| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/956891 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832556909342752768 |
|---|---|
| author | Kasso A. Okoudjou |
| author_facet | Kasso A. Okoudjou |
| author_sort | Kasso A. Okoudjou |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-ad3562fa56d6487bbee77c78bb9f318b |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-ad3562fa56d6487bbee77c78bb9f318b2025-02-03T05:44:05ZengWileyJournal 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 |
| spellingShingle | Kasso A. Okoudjou A Beurling-Helson type theorem for modulation spaces Journal of Function Spaces and Applications |
| title | 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_short | A Beurling-Helson type theorem for modulation spaces |
| title_sort | beurling helson type theorem for modulation spaces |
| url | http://dx.doi.org/10.1155/2009/956891 |
| work_keys_str_mv | AT kassoaokoudjou abeurlinghelsontypetheoremformodulationspaces AT kassoaokoudjou beurlinghelsontypetheoremformodulationspaces |