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Sampling Theorem for Entire Functions of Exponential Growth

✍ Scribed by Jaeyoung Chung; Soon-Yeong Chung; Dohan Kim

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
105 KB
Volume
265
Category
Article
ISSN
0022-247X

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✦ Synopsis

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 uniqueness theorem for entire functions and temperature functions.

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