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

DOI10.1007/S13163-018-0274-5zbMath1457.44003OpenAlexW2887370048MaRDI QIDQ668262

Gustavo A. Muñoz-Fernández, Juan B. Seoane-Sepúlveda, Eva Sáez-Maestro, Pablo Jiménez-Rodríguez

Publication date: 19 March 2019

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-018-0274-5

zbMATH Keywords

convolutionnon differentiable function

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (3)

The convolution square of a differentiable function need not be differentiable ⋮ Algebraic genericity and the differentiability of the convolution ⋮ Non-differentiability of the convolution of differentiable real functions

Cites Work

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