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An extension of Carlson's theorem for entire functions of exponential type

✍ Scribed by Rainer Brück


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
120 KB
Volume
147
Category
Article
ISSN
0022-247X

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Sampling Theorem for Entire Functions of
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Applying the theory of generalized functions we obtain the Shannon sampling theorem for entire functions F z of exponential growth and give its error estimate which shows how much the error depends on the sampling size and bandwidth for given domain of the signal F z . As an application we obtain a