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The Taylor series for bandlimited signals

Published online by Cambridge University Press:  17 February 2009

M. A. Hernandez Veron
Affiliation:
Dpto. de Matemáticas y Computación, Universidad de La Rioja, Logroño, Spain
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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1994

References

[1]Boas, R. P., Entire functions (Academic Press, 1954).Google Scholar
[2]Levin, B. J. A., “Distribution of zeros of entire functions”, Translations of Mathematical Monographs 5 (1980) 69.Google Scholar
[3]Papoulis, A., Signal analysis (McGraw Hill, 1986) 185186.Google Scholar
[4]Titchmarsh, E. G., “The zeros of certain integral functions”, Proc. London Math. Soc. 25 (2) (1926) 283302.CrossRefGoogle Scholar