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A characterization of the sine function

Published online by Cambridge University Press:  24 October 2008

J. Roe
Affiliation:
Peterhouse, Cambridge

Abstract

If a function and all its derivatives and integrals are absolutely uniformly bounded, then the function is a sine function with period 2π.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1980

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References

REFERENCE

(1)Lighthill, M. J.Introduction to Fourier analysis and generalized functions (Cambridge University Press, 1958).CrossRefGoogle Scholar