Series expansions for Fourier transforms and Lebesgue functions
Raimond Struble (1984)
Studia Mathematica
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Raimond Struble (1984)
Studia Mathematica
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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.
R. Bhuvaneswari, V. Karunakaran (2010)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – 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.
M. Bożejko, T. Pytlik (1972)
Colloquium Mathematicae
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S. Hartman (1975)
Colloquium Mathematicae
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Colin C. Graham (1976)
Colloquium Mathematicae
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Louis Pigno (1981)
Colloquium Mathematicae
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M. Mathias (1923)
Mathematische Zeitschrift
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(1970)
Czechoslovak Mathematical Journal
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H. Weber (1980/81)
Numerische Mathematik
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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 knowing only an approximation of its Fourier coefficients.