Existence and uniqueness of the solution of Laplace's equation from a model of magnetic recording.
Fleming, John L. (2008)
Applied Mathematics E-Notes [electronic only]
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Fleming, John L. (2008)
Applied Mathematics E-Notes [electronic only]
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International Journal of Mathematics and Mathematical Sciences
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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.
M. Bożejko, T. Pytlik (1972)
Colloquium Mathematicae
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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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