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The purpose of this work is to prove an analog of the classical Titchmarsh’s theorem (Introduction to the theory of Fourier integrals, Oxford University Press, Oxford, 1937, Theorem 84) and… Click to show full abstract
The purpose of this work is to prove an analog of the classical Titchmarsh’s theorem (Introduction to the theory of Fourier integrals, Oxford University Press, Oxford, 1937, Theorem 84) and Younis’s Theorem (Fourier transform of Lipschitz functions on compact groups, Ph.D. Thesis, McMaster University, Hamilton, Ontario, Canada, 1974, Theorem 2.6) on the image under the discrete Fourier–Jacobi transform of a set of functions satisfying a generalized Lipschitz condition in the weighted spaces
$${\mathbb {L}}_{p}([0,\pi ]) $$
,
$$1
Journal Title: Journal of Pseudo-differential Operators and Applications
Year Published: 2020
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