ESTIMATES FOR THE SECOND HANKEL–CLIFFORD TRANSFORM AND TITCHMARSH EQUIVALENCE THEOREM
We obtain estimates of integrals containing the second Hankel–Clifford transforms of functions from Sobolev-Hankel– Clifford spaces. As a corollary, we obtain a new variant of Titchmarsh equivalence theorem for the second Hankel–Clifford transform.
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2024-06-01
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| Series: | Проблемы анализа |
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| Online Access: | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=15790&lang=en |
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| _version_ | 1850052406580084736 |
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| author | S. S. Volosivets |
| author_facet | S. S. Volosivets |
| author_sort | S. S. Volosivets |
| collection | DOAJ |
| description | We obtain estimates of integrals containing the second Hankel–Clifford transforms of functions from Sobolev-Hankel–
Clifford spaces. As a corollary, we obtain a new variant of Titchmarsh equivalence theorem for the second Hankel–Clifford transform. |
| format | Article |
| id | doaj-art-5178c3f8b05447b49a0f5907dfbb7c33 |
| institution | DOAJ |
| issn | 2306-3424 2306-3432 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | Petrozavodsk State University |
| record_format | Article |
| series | Проблемы анализа |
| spelling | doaj-art-5178c3f8b05447b49a0f5907dfbb7c332025-08-20T02:52:49ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322024-06-0113 (31)214415410.15393/j3.art.2024.15790ESTIMATES FOR THE SECOND HANKEL–CLIFFORD TRANSFORM AND TITCHMARSH EQUIVALENCE THEOREMS. S. Volosivets0Saratov State UniversityWe obtain estimates of integrals containing the second Hankel–Clifford transforms of functions from Sobolev-Hankel– Clifford spaces. As a corollary, we obtain a new variant of Titchmarsh equivalence theorem for the second Hankel–Clifford transform.https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=15790&lang=ensecond hankel–clifford transformhankel–clifford translationsobolev–hankel–clifford spacestitchmarsh equivalence theorem |
| spellingShingle | S. S. Volosivets ESTIMATES FOR THE SECOND HANKEL–CLIFFORD TRANSFORM AND TITCHMARSH EQUIVALENCE THEOREM Проблемы анализа second hankel–clifford transform hankel–clifford translation sobolev–hankel–clifford spaces titchmarsh equivalence theorem |
| title | ESTIMATES FOR THE SECOND HANKEL–CLIFFORD TRANSFORM AND TITCHMARSH EQUIVALENCE THEOREM |
| title_full | ESTIMATES FOR THE SECOND HANKEL–CLIFFORD TRANSFORM AND TITCHMARSH EQUIVALENCE THEOREM |
| title_fullStr | ESTIMATES FOR THE SECOND HANKEL–CLIFFORD TRANSFORM AND TITCHMARSH EQUIVALENCE THEOREM |
| title_full_unstemmed | ESTIMATES FOR THE SECOND HANKEL–CLIFFORD TRANSFORM AND TITCHMARSH EQUIVALENCE THEOREM |
| title_short | ESTIMATES FOR THE SECOND HANKEL–CLIFFORD TRANSFORM AND TITCHMARSH EQUIVALENCE THEOREM |
| title_sort | estimates for the second hankel clifford transform and titchmarsh equivalence theorem |
| topic | second hankel–clifford transform hankel–clifford translation sobolev–hankel–clifford spaces titchmarsh equivalence theorem |
| url | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=15790&lang=en |
| work_keys_str_mv | AT ssvolosivets estimatesforthesecondhankelcliffordtransformandtitchmarshequivalencetheorem |