Convolution functions that are nowhere differentiable |
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| Authors: | P. Jimé nez-Rodrí guez,S. Maghsoudi,G.A. Muñ oz-Ferná ndez |
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| Affiliation: | 1. Departamento de Análisis Matemático, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, Plaza de Ciencias 3, Madrid, 28040, Spain;2. Department of Mathematics, University of Zanjan, Zanjan 45195-313, Iran |
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| Abstract: | In 1951 V. Jarník constructed two continuous functions whose Volterra convolution is nowhere differentiable. We generalize Jarník?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. |
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| Keywords: | Lineability Spaceability Algebrability Convolution Nowhere differentiable function |
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