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Smoothness of convolutions
Author(s) -
Körner T. W.
Publication year - 2013
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bds036
Subject(s) - smoothness , mathematics , convolution (computer science) , square (algebra) , function (biology) , pure mathematics , mathematical analysis , geometry , computer science , artificial intelligence , evolutionary biology , artificial neural network , biology
In some cases, the convolution square f * f of a function with itself is smoother than we might expect. This paper investigates the phenomenon and shows that the elementary bounds on the smoothness of convolution products cannot be improved.
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