Algebrability of the set of non-convergent Fourier series
Algebrability of the set of non-convergent Fourier series
We show that, given a set $E\subset \mathbb T$ of measure zero, the set of continuous functions whose Fourier series expansion is divergent at any point $t\in E$ is <i>dense-algebrable</i>, i.e. there exists an infinite-dimensional, infinitely generated d