Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets
We prove a Calderón reproducing formula for the Dunkl continuous wavelet transform on R. We apply this result to derive new inversion formulas for the dual Dunkl-Sonine integral transform.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2009 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149135 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets / M.A. Mourou // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 16 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862552848798056448 |
|---|---|
| author | Mourou, M.A. |
| author_facet | Mourou, M.A. |
| citation_txt | Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets / M.A. Mourou // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 16 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We prove a Calderón reproducing formula for the Dunkl continuous wavelet transform on R. We apply this result to derive new inversion formulas for the dual Dunkl-Sonine integral transform.
|
| first_indexed | 2025-11-25T21:08:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149135 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T21:08:28Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Mourou, M.A. 2019-02-19T17:36:42Z 2019-02-19T17:36:42Z 2009 Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets / M.A. Mourou // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 16 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 42B20; 42C15; 44A15; 44A35 https://nasplib.isofts.kiev.ua/handle/123456789/149135 We prove a Calderón reproducing formula for the Dunkl continuous wavelet transform on R. We apply this result to derive new inversion formulas for the dual Dunkl-Sonine integral transform. The author is grateful to the referees and editors for careful reading and useful comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets Article published earlier |
| spellingShingle | Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets Mourou, M.A. |
| title | Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets |
| title_full | Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets |
| title_fullStr | Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets |
| title_full_unstemmed | Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets |
| title_short | Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets |
| title_sort | inversion of the dual dunkl-sonine transform on r using dunkl wavelets |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149135 |
| work_keys_str_mv | AT mourouma inversionofthedualdunklsoninetransformonrusingdunklwavelets |