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Problemy Analiza — Issues of Analysis, 2024, Volume 13(31), Issue 2, Pages 144–154
DOI: https://doi.org/10.15393/j3.art.2024.15790 (Mi pa403) 		 
Estimates for the second Hankel–Clifford transform and Titchmarsh equivalence theorem

S. S. Volosivets

Saratov State University 83 Astrakhanskaya St., Saratov 410012, Russia
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DOI: https://doi.org/10.15393/j3.art.2024.15790
Abstract: 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.
Keywords: second Hankel–Clifford transform, Hankel–Clifford translation, Sobolev–Hankel–Clifford spaces, Titchmarsh equivalence theorem.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2023-949
This work was supported by the Program of development of Regional Scientific and Educational Mathematical Center "Mathematics of Future Technologies" (project no. 075-02-2023-949).
Received: 27.02.2024
Revised: 10.05.2024
Accepted: 31.05.2024
Document Type: Article
UDC: 517.544
MSC: 44A15, 47A10
Language: English
Citation: S. S. Volosivets, “Estimates for the second Hankel–Clifford transform and Titchmarsh equivalence theorem”, Probl. Anal. Issues Anal., 13(31):2 (2024), 144–154
Citation in format AMSBIB
\Bibitem{Vol24}
\by S.~S.~Volosivets
\paper Estimates for the second Hankel--Clifford transform and Titchmarsh equivalence theorem
\jour Probl. Anal. Issues Anal.
\yr 2024
\vol 13(31)
\issue 2
\pages 144--154
\mathnet{http://mi.mathnet.ru/pa403}
\crossref{https://doi.org/10.15393/j3.art.2024.15790}
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