The Fourier transforms of Lipschitz functions on the Heisenberg group.

Younis, M.S.

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Displaying similar documents to “The Fourier transforms of Lipschitz functions on the Heisenberg group.”

Fourier transforms of Lipschitz functions on certain Lie groups.

Younis, M.S. (2001)

International Journal of Mathematics and Mathematical Sciences

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The Fourier transforms of Lipschitz functions on certain domains.

Younis, M.S. (1997)

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Fourier transforms of Lipschitz functions on the hyperbolic plane $H^{2}$ .

Younis, M.S. (1998)

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Fourier transforms of Dini-Lipschitz functions on Vilenkin groups.

Younis, M.S. (1992)

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Best possible sufficient conditions for the Fourier transform to satisfy the Lipschitz or Zygmund condition

Ferenc Móricz (2010)

Studia Mathematica

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We consider complex-valued functions f ∈ L¹(ℝ), and prove sufficient conditions in terms of f to ensure that the Fourier transform f̂ belongs to one of the Lipschitz classes Lip(α) and lip(α) for some 0 < α ≤ 1, or to one of the Zygmund classes zyg(α) and zyg(α) for some 0 < α ≤ 2. These sufficient conditions are best possible in the sense that they are also necessary in the case of real-valued functions f for which either xf(x) ≥ 0 or f(x) ≥ 0 almost everywhere.

Series expansions for Fourier transforms and Lebesgue functions

Raimond Struble (1984)

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Fourier Transforms of Lipschitz Functions and Fourier Multipliers on Compact Groups.

Tong-Seng Quek, Leonard Y.H. Yap (1983)

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Stieltjes transforms on new generalized functions.

Schmeelk, John (2001)

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Boehmians of type S and their Fourier transforms

R. Bhuvaneswari, V. Karunakaran (2010)

Annales UMCS, Mathematica

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Function spaces of type S are introduced and investigated in the literature. They are also applied to study the Cauchy problem. In this paper we shall extend the concept of these spaces to the context of Boehmian spaces and study the Fourier transform theory on these spaces. These spaces enable us to combine the theory of Fourier transform on these function spaces as well as their dual spaces.

Boehmians of type S and their Fourier transforms

R. Bhuvaneswari, V. Karunakaran (2010)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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Inverse Fourier transform

Leonede De Michele, Marina Di Natale, Delfina Roux (1990)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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In this paper a very general method is given in order to reconstruct a periodic function $f$ knowing only an approximation of its Fourier coefficients.