Absolute convergence of the double series of Fourier-Haar coefficients.
Aplakov, Alexander (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Aplakov, Alexander (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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O. P. Goyal (1965)
Matematički Vesnik
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O. P. Goyal (1965)
Matematički Vesnik
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O. P. Goyal (1965)
Matematički Vesnik
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Zhang, Qing-Hua, Chen, Shuiming, Qu, Yuanyuan (2005)
International Journal of Mathematics and Mathematical Sciences
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M. Bożejko, T. Pytlik (1972)
Colloquium Mathematicae
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A. Olevskiĭ (1990)
Colloquium Mathematicae
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M. I. Dyachenko, K. S. Kazarian (2003)
Studia Mathematica
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The aim of this paper is to obtain sharp estimates from below of the measure of the set of divergence of the m-fold Fourier series with respect to uniformly bounded orthonormal systems for the so-called G-convergence and λ-restricted convergence. We continue the study begun in a previous work.
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.
Beriša, Muharem C. (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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M. Mathias (1923)
Mathematische Zeitschrift
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Wade, William R. (1982)
International Journal of Mathematics and Mathematical Sciences
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L. Karadžić (1968)
Annales Polonici Mathematici
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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.