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A characterization of the sine function

  • J. Roe (a1)

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

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(1)Lighthill M. J. Introduction to Fourier analysis and generalized functions (Cambridge University Press, 1958).
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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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