Concepts of generalized bounded variation and the theory of Fourier series.
Avdispahić, M. (1986)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Criteria for absolute and strong convergence of Fourier series”
Concepts of generalized bounded variation and the theory of Fourier series.
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Wade, William R. (1982)
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R. Bojanic (1979)
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Algebrability of the set of non-convergent Fourier series
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.