Generalization of Titchmarsh's theorem for the Laguerre transform in the space $L^{p}(\mathbb{K})$

Authors

  • Hasnaa Lahmad Departement of Mathematics\\ Faculty of Sciences Ain Chock. University of Hassan II, Casablanca, MOROCCO
  • Fatima Fatima Departement of Mathematics\\ Faculty of Sciences Ain Chock. University of Hassan II, Casablanca, MOROCCO
  • Mohamed El Hamma Departement of Mathematics\\ Faculty of Sciences Ain Chock. University of Hassan II, Casablanca, MOROCCO

Abstract

  The aim of this paper is to prove a generalization of Titchmarsh’s theorem for the Laguerre
transform in the space Lp(K) for functions satisfying the (g; p)-Laguerre Lipschitz class for 0<g<1,
by using a generalized translation operator.

 

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Published

2025-03-01

Issue

Vol. 32 No. 1 (2025): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2025 Hasnaa Lahmad, Fatima Fatima , Mohamed El Hamma

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Generalization of Titchmarsh’s theorem for the Laguerre transform in the space $L^{p}(\mathbb{K})$. (2025). Nonlinear Studies, 32(1), 59-63. https://nonlinearstudies.com/index.php/nonlinear/article/view/3404