%0 Journal Article
%A Aron, Richard M.
%A Pérez García, David
%A Seoane Sepúlveda, Juan Benigno
%T Algebrability of the set of non-convergent Fourier series
%D 2006
%@ 0039-3223
%U https://hdl.handle.net/20.500.14352/50496
%X We show that, given a set E subset of T of measure zero, the set of continuous functions whose Fourier series expansion is divergent at any point t is an element of 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.
%~