Generalization of Titchmarsh's theorems for the Minkowski algebra. Issue 1 (2nd January 2023)

• Record Type: Journal Article
• Authors: El Haoui, Youssef; Zayed, Mohra
• Is Part Of: Integral transforms and special functions. Volume 34:Issue 1(2023)
• Page Start: 26
• Page End: 40
• Publication Date: 2023-01-02
• Subjects: Minkowski algebra -- space–time Fourier transform -- Lipschitz class -- Titchmarsh theorem; Primary 42B10 -- Secondary 30G35; Integral transforms -- Periodicals; Transcendental functions -- Periodicals; Transformations (Mathematics) -- Periodicals; Calculus, Integral -- Periodicals; 515
• DOI: 10.1080/10652469.2022.2087062
• Languages: English
• ISSNs: 1065-2469

Abstract

Abstract : The Minkowski space–time algebra C ℓ 3, 1 is a powerful tool for studying the theory of electromagnetism and special relativity. In this paper, we intend to establish generalizations of Titchmarsh theorems for certain classes of functions, namely Lipschitz functions in the space L p ( R 3, 1, C ℓ 3, 1 ) for 1 < p ≤ 2 .