$Q$-FOURIER LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER TRANSFORM IN SPACE $L^{2}_{Q}(\mathbb{R})$

Abstract

In this paper, we prove the generalization of Titchmarsh's theorem for the generalized Fourier transform for functions satisfying the $Q$-Fourier Lipschitz condition in the space $L^{2}_{Q}(\mathbb{R})$.

Keywords

• Generalized Fourier transform; Differential-difference operator; Generalized dual translation operator.

References

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