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The Taylor series for bandlimited signals
Published online by Cambridge University Press: 17 February 2009
Abstract
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We study a special type of infinite product, called an infinite product of Cardano type, and we obtain its Taylor series. We prove that Hadamard's factorization of bandlimited signals is given by an infinite product of Cardano type, and apply our results to obtain the Taylor series for bandlimited signals.
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- Research Article
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- Copyright © Australian Mathematical Society 1994
References
[2]Levin, B. J. A., “Distribution of zeros of entire functions”, Translations of Mathematical Monographs 5 (1980) 6–9.Google Scholar
[4]Titchmarsh, E. G., “The zeros of certain integral functions”, Proc. London Math. Soc. 25 (2) (1926) 283–302.CrossRefGoogle Scholar
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