RT Journal Article
T1 Algebrability of the set of non-convergent Fourier series
A1 Aron, Richard M.
A1 Pérez García, David
A1 Seoane-Sepúlveda, Juan B.
AB 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.
PB Polish Acad Sciencies Inst Mathematics
SN 0039-3223
YR 2006
FD 2006
LK https://hdl.handle.net/20.500.14352/50496
UL https://hdl.handle.net/20.500.14352/50496
LA spa
DS Docta Complutense
RD 2 may 2024