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

• Published in: Issues of analysis Vol. 11 (29); no. 3; pp. 56 - 65
• Main Authors: M. El Hamma, A. Mahfoud
• Format: Journal Article
• Language: English
• Published: Petrozavodsk State University 01.10.2022
• Subjects: clifford-lipschitz class; dini-clifford-lipschitz class; first hankel-clifford transform; generalized translation operator

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.