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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Martin H. Gutknecht (1987)
Numerische Mathematik
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Beriša, Muharem C. (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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Zhang, Qing-Hua, Chen, Shuiming, Qu, Yuanyuan (2005)
International Journal of Mathematics and Mathematical Sciences
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M. Mathias (1923)
Mathematische Zeitschrift
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John J. F. Fournier (1985)
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.
(1970)
Czechoslovak Mathematical Journal
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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.
T. W. Körner (1981)
Colloquium Mathematicae
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Qingshan Wang, Dongyan Shi, Fuzhen Pang, Qian Liang (2016)
Curved and Layered Structures
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A Fourier-Ritz method for predicting the free vibration of composite laminated circular panels and shells of revolution subjected to various combinations of classical and non-classical boundary conditions is presented in this paper. A modified Fourier series approach in conjunction with a Ritz technique is employed to derive the formulation based on the first-order shear deformation theory. The general boundary condition can be achieved by the boundary spring technique in which three...