Approximation of entire functions of exponential type by trigonometric polynomials.

Sampling Theory in Signal and Image ProcessingVol. 6 Nbr. 3, September 2007

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Approximation of entire functions of exponential type by trigonometric polynomials.

Abstract

Let f be an entire function of exponential type [sigma] bounded on the real line. We associate with f an explicitly given function [f.sub.L,0] which coincides with a trigonometric polynomial of period L and exponential type [sigma] + 2[pi]/L on the strip [absolute value of Rz] [less than or equal to]

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