On possible deterioration of smoothness under the operation of convolution

Date

1998

Authors

Uludag, A. M.

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Abstract

We give some sufficient conditions of deterioration of smoothness under the operation of convolution. We show that the convolution of two probability densities which are restrictions to R of entire functions can possess infinite essential supremum on each interval. © 1998 Academic Press.

Source Title

Journal of Mathematical Analysis and Applications

Publisher

Academic Press

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Published Version (Please cite this version)

Language

English