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JOURNALS // Problemy Analiza — Issues of Analysis // Archive

Probl. Anal. Issues Anal., 2024 Volume 13(31), Issue 2, Pages 144–154 (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

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.

UDC: 517.544

MSC: 44A15, 47A10

Received: 27.02.2024
Revised: 10.05.2024
Accepted: 31.05.2024

Language: English

DOI: 10.15393/j3.art.2024.15790



© Steklov Math. Inst. of RAS, 2025