Open Access
June 2015 Generalized Bessel transform of $(\beta, \gamma)$-generalized Bessel Lipschitz functions
Radouan Daher, Mohamed El Hamma
Proc. Japan Acad. Ser. A Math. Sci. 91(6): 85-88 (June 2015). DOI: 10.3792/pjaa.91.85

Abstract

In this paper, we prove an analog of Younis’s theorem 5.2 in~[4] for the generalized Fourier-Bessel transform on the Half line for functions satisfying the $(\beta, \gamma)$-generalized Bessel Lipschitz condition in the space $\mathrm{L}^{2}_{\alpha,n}$.

Citation

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Radouan Daher. Mohamed El Hamma. "Generalized Bessel transform of $(\beta, \gamma)$-generalized Bessel Lipschitz functions." Proc. Japan Acad. Ser. A Math. Sci. 91 (6) 85 - 88, June 2015. https://doi.org/10.3792/pjaa.91.85

Information

Published: June 2015
First available in Project Euclid: 3 June 2015

zbMATH: 1330.42002
MathSciNet: MR3353094
Digital Object Identifier: 10.3792/pjaa.91.85

Subjects:
Primary: 42B10

Keywords: Generalized Fourier-Bessel transform , generalized translation operator

Rights: Copyright © 2015 The Japan Academy

Vol.91 • No. 6 • June 2015
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