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Jiménez Rodríguez, P. and Maghsoudi, S. and Muñoz-Fernández, Gustavo A.
(2014)
*Convolution functions that are nowhere differentiable.*
Journal of mathematical analysis and applications, 413
(2).
pp. 609-615.
ISSN 0022-247X

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Restringido a Repository staff only hasta 31 December 2025. 296kB |

Official URL: http://www.sciencedirect.com/science/article/pii/S0022247X13010871

## Abstract

In 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.

Item Type: | Article |
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Uncontrolled Keywords: | Lineability; Spaceability; Algebrability; Convolution; Nowhere differentiable function |

Subjects: | Sciences > Mathematics > Mathematical analysis |

ID Code: | 24997 |

Deposited On: | 07 Apr 2014 10:51 |

Last Modified: | 14 Mar 2016 15:40 |

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