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A summability method for the arithmetic Fourier transform

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Publication:1335004
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DOI10.1007/BF01955877zbMath0821.65093OpenAlexW2011430972MaRDI QIDQ1335004

W. J. Walker

Publication date: 27 September 1995

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01955877


zbMATH Keywords

Möbius functionnumerical examplesummability methodarithmetic Fourier transformperiodic functionFourier cosine coefficients


Mathematics Subject Classification ID

Numerical methods for trigonometric approximation and interpolation (65T40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)


Related Items (1)

The arithmetic fourier transform and the visual pathway




Cites Work

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  • A sampling theorem and Wintner's results on Fourier coefficients
  • Representation of Fourier Integrals as Sums. III
  • Fourier analysis and signal processing by use of the Mobius inversion formula
  • A Sampling Theorem for Analytic Functions
  • An algorithm for computing the inverse Z transform
  • On implementing the arithmetic Fourier transform




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