RT Journal Article
T1 Convolution functions that are nowhere differentiable
A1 Jiménez Rodríguez, P.
A1 Maghsoudi, S.
A1 Muñoz-Fernández, Gustavo A.
AB In 1951 V. Jarnik constructed two continuous functions whose Volterra convolution is nowhere differentiable. We generalize Jarnik's results by proving that the set of such functions is maximal lineable. This would shed some light on a question posed in 1973 on the structure of the set of continuous functions whose Volterra convolution is nowhere differentiable.
PB Elsevier
SN 0022-247X
YR 2014
FD 2014-05-15
LK https://hdl.handle.net/20.500.14352/33509
UL https://hdl.handle.net/20.500.14352/33509
LA eng
DS Docta Complutense
RD 6 may 2024