Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2014; 29(2): 379-385

Printed April 1, 2014

https://doi.org/10.4134/CKMS.2014.29.2.379

Copyright © The Korean Mathematical Society.

Sampling expansion of bandlimited functions of polynomial growth on the real line

Chang Eon Shin

Sogang University

Abstract

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For a bandlimited function with polynomial growth on the real line, we derive a nonuniform sampling expansion using a special bandlimited function which has polynomial decay on the real line. The series converges uniformly on any compact subsets of the real line.

Keywords: Shannon sampling, nonuniform sampling, bandlimited function, polynomial growth

MSC numbers: 94A20, 30D10, 94A12

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