Fourier Integrals II
J. J. Duistermaat (1973)
Recherche Coopérative sur Programme n°25
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J. J. Duistermaat (1973)
Recherche Coopérative sur Programme n°25
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Antoni Zygmund (1967)
Colloquium Mathematicum
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T. W. Körner (1981)
Colloquium Mathematicae
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M. H., Stone (1928)
Mathematische Zeitschrift
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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.
K. Krzyżewski (1968)
Colloquium Mathematicae
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J. Musielak, W. Orlicz (1959)
Studia Mathematica
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L. Moser, M. G. Murdeshwar (1966)
Colloquium Mathematicae
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T. Świątkowski (1967)
Colloquium Mathematicae
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M. Stojaković (1966)
Matematički Vesnik
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S. N. Mukhopadhyay (1967)
Colloquium Mathematicae
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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.
H. Światak (1965)
Annales Polonici Mathematici
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S. R. Agrawal, C. M. Patel (1976)
Matematički Vesnik
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