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Convolution functions that are nowhere differentiable

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dc.contributor.authorJiménez Rodríguez, P.
dc.contributor.authorMaghsoudi, S.
dc.contributor.authorMuñoz-Fernández, Gustavo A.
dc.date.accessioned2023-06-19T13:23:39Z
dc.date.available2023-06-19T13:23:39Z
dc.date.issued2014-05-15
dc.description.abstractIn 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.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.facultyInstituto de Matemática Interdisciplinar (IMI)
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/24997
dc.identifier.doi10.1016/j.jmaa.2013.12.008
dc.identifier.issn0022-247X
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0022247X13010871
dc.identifier.relatedurlhttp://www.sciencedirect.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/33509
dc.issue.number2
dc.journal.titleJournal of mathematical analysis and applications
dc.language.isoeng
dc.page.final615
dc.page.initial609
dc.publisherElsevier
dc.rights.accessRightsrestricted access
dc.subject.cdu517
dc.subject.keywordLineability
dc.subject.keywordSpaceability
dc.subject.keywordAlgebrability
dc.subject.keywordConvolution
dc.subject.keywordNowhere differentiable function
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleConvolution functions that are nowhere differentiable
dc.typejournal article
dc.volume.number413
dspace.entity.typePublication

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