Generalization of Titchmarsh's theorem for the Bessel transform in the space L_{p,α}(ℝ_+)

Mohamed El Hamma; Radouan Daher

Published: 2013-01-15

Vol. 26 (2012)

Generalization of Titchmarsh's theorem for the Bessel transform in the space L_{p,α}(ℝ_+)

Mohamed El Hamma , Radouan Daher

Abstract

In this paper, we prove a generalization of Titchmarsh’s theorem for the Bessel transform in the space L_p,α(ℝ⁺) for functions satisfying the (ψ,p)-Bessel Lipschitz condition.

Keywords:

Bessel operator , Bessel transform , Bessel generalized translation

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El Hamma, M., & Daher, R. (2013). Generalization of Titchmarsh’s theorem for the Bessel transform in the space L_{p,α}(ℝ_+). Annales Mathematicae Silesianae, 26, 55–59. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14013

Mohamed El Hamma

m_elhamma@yahoo.fr

Affiliation:

Department of Mathematics, Faculty of Sciences Aïn Chock, University of Hassan II, Morocco Morocco

Radouan Daher

Affiliation:

Department of Mathematics, Faculty of Sciences Aïn Chock, University of Hassan II, Morocco Morocco

Vol. 26 (2012)
Published: 2013-01-15

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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Generalization of Titchmarsh's theorem for the Bessel transform in the space L_{p,α}(ℝ_+)

Abstract

Keywords:

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