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Series expansions and general transforms
Published online by Cambridge University Press: 24 October 2008
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