Displaying similar documents to “Theorems on lacunary sets, especially p-Sidon sets”

Lacunary series on compact groups

Katherine Adams, David Grow (2000)

Colloquium Mathematicae

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A theorem of Sidon concerning absolutely convergent Fourier series is extended to compact groups.

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.