DINI LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$

Year 2017, Volume: 5 Issue: 1, 92 - 98, 01.04.2017

S. El Ouadıh , R. Daher , M. El Hamma

Abstract

Using a generalized translation operator, we obtain an analog of Younis Theorem 5.2 in [5] for the generalized Fourier-Dunkl transform for functions satisfying the Fourier-Dunkl Dini Lipschitz condition in the space $L_{\alpha,n}^{2}$.

Keywords

Differential-difference operator, Generalized Fourier-Dunkl transform, Generalized translation operator.

References

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