Non-differentiability of the convolution of differentiable real functions

zbMath1477.44006MaRDI QIDQ785251

Pablo Jiménez-Rodríguez, Gustavo A. Muñoz-Fernández, Juan B. Seoane-Sepúlveda, Krzysztof Chris Ciesielski

Publication date: 6 August 2020

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rae/1593482444

zbMATH Keywords

convolutionperfect setnon-differentiable function

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The convolution of two differentiable functions on the circle need not be differentiable
• Mathematical analysis II. Translated from the 4th and 6th Russian editions by Roger Cooke and Octavio T. Paniagua
• Simultaneous small coverings by smooth functions under the covering property axiom
• Algebraic genericity and the differentiability of the convolution
• Convolution functions that are nowhere differentiable
• Linear subsets of nonlinear sets in topological vector spaces
• On Bilateral Derivatives and the Derivative
• Differentiability versus continuity: Restriction and extension theorems and monstrous examples
• Sur le produit de composition de deux fonctions continues