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The convolution square of a differentiable function need not be differentiable

Volume 160 / 2020

T. W. Körner Colloquium Mathematicum 160 (2020), 263-267 MSC: Primary 26A16. DOI: 10.4064/cm7894-6-2019 Published online: 7 February 2020

Abstract

The convolution product of a differentiable function with itself may fail to be Hölder continuous of any index on a dense set of points.

Authors

  • T. W. KörnerDPMMS
    Centre for Mathematical Sciences
    Clarkson Road, Cambridge, UK
    e-mail

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