Some types of lacunary Fourier series
M. Bożejko, T. Pytlik (1972)
Colloquium Mathematicae
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M. Bożejko, T. Pytlik (1972)
Colloquium Mathematicae
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M. Mathias (1923)
Mathematische Zeitschrift
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Richard M. Aron, David Pérez-García, Juan B. Seoane-Sepúlveda (2006)
Studia Mathematica
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We show that, given a set E ⊂ 𝕋 of measure zero, the set of continuous functions whose Fourier series expansion is divergent at any point t ∈ E is dense-algebrable, i.e. there exists an infinite-dimensional, infinitely generated dense subalgebra of 𝓒(𝕋) every non-zero element of which has a Fourier series expansion divergent in E.
Marek Bożejko (1979)
Colloquium Mathematicae
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(1970)
Czechoslovak Mathematical Journal
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Zhang, Qing-Hua, Chen, Shuiming, Qu, Yuanyuan (2005)
International Journal of Mathematics and Mathematical Sciences
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T. W. Körner (1981)
Colloquium Mathematicae
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Lafferty, John D., Rockmore, Daniel (1992)
Experimental Mathematics
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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.
Beriša, Muharem C. (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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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.