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Discrete Fourier–Laplace Transforms of Lipschitz Functions in the Spaces $$S^{(p,q)}(\sigma ^{m-1})$$

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In this paper, we extend the classical Titchmarsh theorem on the image under the discrete Fourier–Laplace transform of a set of functions satisfying a generalized Lipschitz and Dini–Lipschitz condition in… Click to show full abstract

In this paper, we extend the classical Titchmarsh theorem on the image under the discrete Fourier–Laplace transform of a set of functions satisfying a generalized Lipschitz and Dini–Lipschitz condition in the space $$S^{(p,q)}(\sigma ^{m-1})$$ , $$m\ge 3$$ . The given statements generalize the results of the author’s work published in El Ouadih and Daher (Integral Transforms Spec Funct 31(12):1010–1019, 2020).

Keywords: fourier laplace; laplace transforms; transforms lipschitz; discrete fourier; lipschitz functions

Journal Title: Complex Analysis and Operator Theory
Year Published: 2021

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