Abstract
The purposes of the following note are these:—(1) To show the relation between Whittaker's Cardinal Function and Fourier's Repeated Integral; (2) to give a new derivation of Fourier's Integral Formula; and (3) to extend the notion of the Fourier Integral to the case in which the variables involved are complex.
Publisher
Cambridge University Press (CUP)
Cited by
4 articles.
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1. Bibliography;Handbook of Computational Methods for Integration;2004-12-20
2. Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview;SIAM Review;1992-03
3. Five short stories about the cardinal series;Bulletin of the American Mathematical Society;1985
4. XXIX.—On the Cardinal Function of Interpolation-Theory;Proceedings of the Royal Society of Edinburgh;1927