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Note on the sum of an oscillating series

Published online by Cambridge University Press:  24 October 2008

S Verblunsky
S Verblunsky
Affiliation:
Magdalene College
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Extract

Consider the series

and let

The series

is not necessarily convergent. Suppose that its Poisson sum exists. This we denote by

The expression

when existent will be said to be the sum (, p) of the series (1).

Type
Articles
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 26 , Issue 2 , April 1930 , pp. 152 - 157
Copyright
Copyright © Cambridge Philosophical Society 1930

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