Sampling expansion of bandlimited functions of polynomial growth on the real line
Commun. Korean Math. Soc. 2014 Vol. 29, No. 2, 379-385
Printed April 1, 2014
Chang Eon Shin
Sogang University
Abstract : 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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