RT info:eu-repo/semantics/article
T1 Algebraic genericity and the differentiability of the convolution
A1 Jiménez Rodríguez, Pablo
A1 Muñoz Fernández, Gustavo A.
A1 Sáez Maestro, Eva
A1 Seoane Sepúlveda, Juan A.
AB Despite the convolution preserving most of the smooth properties of the functions that take part in it, there exist differentiable functions whose convolution is not differentiable. In the present result, we study the algebraic genericity of the set of those functions. In particular, it is proved that periodic continuous functions can be approximated by functions belonging to a vector space each of whose nonzero members generates some convolution which is not differentiable.
YR 2019
FD 2019
LK https://uvadoc.uva.es/handle/10324/83410
UL https://uvadoc.uva.es/handle/10324/83410
LA eng
NO Journal of Approximation Theory 241 (2019) 86–106
DS UVaDOC
RD 06-abr-2026