The convolution of two differentiable functions on the circle need not be differentiable

Título

dc.contributor.author	Jiménez Rodríguez, Pablo
dc.contributor.author	Muñoz Fernández, Gustavo A.
dc.contributor.author	Seoane Sepúlveda, Juan A.
dc.contributor.author	Sáez Maestro, Eva
dc.date.accessioned	2026-03-13T09:01:57Z
dc.date.available	2026-03-13T09:01:57Z
dc.date.issued	2019
dc.identifier.citation	Revista Matemática Complutense (2019) 32:187–193	es
dc.identifier.uri	https://uvadoc.uva.es/handle/10324/83409
dc.description.abstract	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.	es
dc.format.mimetype	application/pdf	es
dc.language.iso	eng	es
dc.rights.accessRights	info:eu-repo/semantics/restrictedAccess	es
dc.title	The convolution of two differentiable functions on the circle need not be differentiable	es
dc.type	info:eu-repo/semantics/article	es
dc.rights.holder	Springer	es
dc.identifier.doi	https://doi.org/10.1007/s13163-018-0274-5	es
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s13163-018-0274-5	es
dc.peerreviewed	SI	es
dc.type.hasVersion	info:eu-repo/semantics/publishedVersion	es