GENERALIZATION OF TITCHMARSH’ S THEOREM FOR THE FIRST HANKEL-CLIFFORD TRANSFORM IN THE SPACE 𝑳(^𝑷 _𝝁) ((𝟎, + ∞))

Using a generalized translation operator, we intend to establish generalizations of the Titchmarsh theorem ( [14], theorem 84) for the first Hankel-Clifford transform for certain classes of functions in the space 𝐿(^𝑝 _𝜇) ((0, + ∞)), where 1 < 𝑝 ⩽ 2.

Bibliographic Details
Main Authors: M. El Hamma, A. Mahfoud
Format: Article
Language:English
Published: Petrozavodsk State University 2022-10-01
Series:Проблемы анализа
Subjects:
Online Access:https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=11851&lang=ru
Description
Summary:Using a generalized translation operator, we intend to establish generalizations of the Titchmarsh theorem ( [14], theorem 84) for the first Hankel-Clifford transform for certain classes of functions in the space 𝐿(^𝑝 _𝜇) ((0, + ∞)), where 1 < 𝑝 ⩽ 2.
ISSN:2306-3424
2306-3432