Some Results for the Bessel transform

Mohamed El Hamma; Radouan Daher; Salah El Ouadih

doi:10.26637/mjm302/010

Abstract

In this paper, using a Bessel generalized translation, we prove the estimates for the Bessel transform in the space $\mathrm{L}_p^2\left(\mathbb{R}_{+}\right)$ on certain classes of functions.

Keywords:

Bessel operator, Bessel transform, Bessel generalized translation

Mathematics Subject Classification:

42B37

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Mohamed El Hamma Department of Mathematics, Faculty of Sciences A¨ ın Chock & University of Hassan II, Casablanca, Morocco.
Radouan Daher Department of Mathematics, Faculty of Sciences A¨ ın Chock & University of Hassan II, Casablanca, Morocco.
Salah El Ouadih Department of Mathematics, Faculty of Sciences A¨ ın Chock & University of Hassan II, Casablanca, Morocco.

Pages: 202-206
Date Published: 01-04-2015
Vol. 3 No. 02 (2015): Malaya Journal of Matematik (MJM)

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