A sampling theorem for analytic functions
HTML articles powered by AMS MathViewer
- by J. L. Schiff and W. J. Walker PDF
- Proc. Amer. Math. Soc. 99 (1987), 737-740 Request permission
Abstract:
An analogue to the Shannon sampling theorem is obtained for an analytic function sampled on a circle.References
- J. R. Higgins, Five short stories about the cardinal series, Bull. Amer. Math. Soc. (N.S.) 12 (1985), no. 1, 45–89. MR 766960, DOI 10.1090/S0273-0979-1985-15293-0
- Harald Niederreiter, Quasi-Monte Carlo methods and pseudo-random numbers, Bull. Amer. Math. Soc. 84 (1978), no. 6, 957–1041. MR 508447, DOI 10.1090/S0002-9904-1978-14532-7 B. L. Van der Waerden, Modern algebra, vol. 1, Ungar, New York, 1953.
- J. L. Walsh, A mean value theorem for polynomials and harmonic polynomials, Bull. Amer. Math. Soc. 42 (1936), no. 12, 923–930. MR 1563465, DOI 10.1090/S0002-9904-1936-06468-2
Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 99 (1987), 737-740
- MSC: Primary 30B10; Secondary 30E05, 65E05
- DOI: https://doi.org/10.1090/S0002-9939-1987-0877049-1
- MathSciNet review: 877049