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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A sampling theorem for a class of pseudoanalytic functions
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by J. L. Schiff and W. J. Walker PDF
Proc. Amer. Math. Soc. 111 (1991), 695-699 Request permission

Abstract:

The $\mu$-regular class of pseudoanalytic functions satisfy the Cauchy-Riemann equations for $\Delta \mu = {\mu ^2}\mu$. A sampling algorithm is given which expresses the Fourier coefficients of these functions as a countable sum of sample values taken around a circle. This representation is obtained using Möbius inversion.
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 111 (1991), 695-699
  • MSC: Primary 30G20; Secondary 30B99
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1045599-4
  • MathSciNet review: 1045599