RT info:eu-repo/semantics/article
T1 The convolution of two differentiable functions on the circle need not be differentiable
A1 Jiménez Rodríguez, Pablo
A1 Muñoz Fernández, Gustavo A.
A1 Seoane Sepúlveda, Juan A.
A1 Sáez Maestro, Eva
AB The convolution operator is well-known for preserving the best properties of its parent functions, and is often presented as a “smoothing” operator. In the present result, we construct two differentiable functions whose convolution is not differentiable.
YR 2019
FD 2019
LK https://uvadoc.uva.es/handle/10324/83409
UL https://uvadoc.uva.es/handle/10324/83409
LA eng
NO Revista Matemática Complutense (2019) 32:187–193
DS UVaDOC
RD 06-abr-2026