2026-04-14T17:54:18Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/834092026-03-13T20:04:48Zcom_10324_1176com_10324_931com_10324_894col_10324_1359
The convolution of two differentiable functions on the circle need not be differentiable
Jiménez Rodríguez, Pablo
Muñoz Fernández, Gustavo A.
Seoane Sepúlveda, Juan A.
Sáez Maestro, Eva
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.
2026-03-13
2026-03-13
2019
info:eu-repo/semantics/article
Revista Matemática Complutense (2019) 32:187–193
https://uvadoc.uva.es/handle/10324/83409
https://doi.org/10.1007/s13163-018-0274-5
eng
https://link.springer.com/article/10.1007/s13163-018-0274-5
info:eu-repo/semantics/restrictedAccess
Springer