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Series expansions and general transforms

Published online by Cambridge University Press:  24 October 2008

J. B. Miller
J. B. Miller
Affiliation:
University of New England, N.S.W.
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Extract

A number of writers have noticed Fourier sine or cosine transform relations between certain pairs of series. For example, Duffin(4) has shown that in a variety of circumstances

are a pair of sine transforms, and Guinand(7) that

are cosine transforms, using L2 theory. Other examples are given in (2) and (5); and in (6) power series and general transforms are considered.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 54 , Issue 3 , July 1958 , pp. 358 - 367
Copyright
Copyright © Cambridge Philosophical Society 1958

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References

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