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The Summation of a Fourier Integral of Finite Type

Published online by Cambridge University Press:  24 October 2008

S. Pollard
S. Pollard
Affiliation:
Trinity College
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Extract

A Fourier integral will be described as of finite type if the range of integration of the integrals by means of which the coefficients in the Fourier integral are defined is a finite interval instead of the usual (−∞ ∞). Thus is of finite type (p, q), such that where ƒ(x) is the generating function of the series.

Type
Articles
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 23 , Issue 4 , October 1926 , pp. 373 - 382
Copyright
Copyright © Cambridge Philosophical Society 1926

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