On possible deterioration of smoothness under the operation of convolution
Author
Uludağ, A. Muhammed
Advisor
Ostrovskii, Lossif V.
Date
1996Publisher
Bilkent University
Language
English
Type
ThesisItem Usage Stats
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Abstract
We show that the convolution of two probability densities which are restrictions
to R of entire functions can possess infinite essential supremuin on
each interval. We also present several sufficient conditions of deterioration of
smoothness under the operation of convolution.