On possible deterioration of smoothness under the operation of convolution

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B033284.pdf (1.44 MB)

Date

1996

Authors

Editor(s)

Advisor

Ostrovskii, Lossif V.

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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.

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Book Title

Keywords

Convolution, Smoothness, Probability Density, entire funetion

Degree Discipline

Mathematics

Degree Level

Master's

Degree Name

MS (Master of Science)

Citation

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http://hdl.handle.net/11693/18409

Published Version (Please cite this version)

Collections

Graduate School of Engineering and Science

Language

English

Type

Thesis