An estimate of the Fourier coefficients of functions belonging to the Besov class.
Beriša, Muharem C. (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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Beriša, Muharem C. (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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M. Bożejko, T. Pytlik (1972)
Colloquium Mathematicae
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M. Mathias (1923)
Mathematische Zeitschrift
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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.
Zhang, Qing-Hua, Chen, Shuiming, Qu, Yuanyuan (2005)
International Journal of Mathematics and Mathematical Sciences
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(1970)
Czechoslovak Mathematical Journal
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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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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.
Raimond Struble (1984)
Studia Mathematica
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