A note on convergence to infinity of Fourier series
A. Olevskiĭ (1990)
Colloquium Mathematicae
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A. Olevskiĭ (1990)
Colloquium Mathematicae
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Aplakov, Alexander (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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William R. Wade (1987)
Colloquium Mathematicae
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R. Bojanic (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
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S. M. Mazhar (1985)
Matematički Vesnik
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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.
Per Sjölin, Fernando Soria (1999)
Publicacions Matemàtiques
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In this paper we establish a formal connection between the average decay of the Fourier transform of functions with respect to a given measure and the of that measure. We also present a generalization of the classical restriction theorem of Stein and Tomas replacing the sphere with sets of prefixed Hausdorff dimension n - 1 + α, with 0 < α < 1.
Ushangi Goginava (2013)
Colloquium Mathematicae
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We investigate some convergence and divergence properties of the logarithmic means of quadratic partial sums of double Fourier series of functions, in measure and in the L Lebesgue norm.
T. W. Körner (1981)
Colloquium Mathematicae
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M. Bożejko, T. Pytlik (1972)
Colloquium Mathematicae
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Leonede de-Michele, Paolo M. Soardi (1976)
Colloquium Mathematicae
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R. Taberski (1964)
Annales Polonici Mathematici
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R. Bojanic (1956)
Publications de l'Institut Mathématique [Elektronische Ressource]
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