Solution of Bernstein’s approximation problem
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- by Harry Pollard PDF
- Proc. Amer. Math. Soc. 4 (1953), 869-875 Request permission
References
- N. I. Ahiezer and K. I. Babenko, On weighted polynomials of approximation to functions continuous on the whole real axis, Doklady Akad. Nauk SSSR (N.S.) 57 (1947), 315–318 (Russian). MR 0021990 S. Bernstein, Leçons sur les propriétés extrémales, Paris, 1926.
- Lennart Carleson, On Berstein’s approximation problem, Proc. Amer. Math. Soc. 2 (1951), 953–961. MR 45779, DOI 10.1090/S0002-9939-1951-0045779-5
- Lynn H. Loomis, A note on the Hilbert transform, Bull. Amer. Math. Soc. 52 (1946), 1082–1086. MR 19155, DOI 10.1090/S0002-9904-1946-08713-3 R. E. A. C. Paley and N. Wiener, Fourier transforms in the complex domain, New York, 1934. E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford, 1937.
Additional Information
- © Copyright 1953 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 4 (1953), 869-875
- MSC: Primary 27.0X
- DOI: https://doi.org/10.1090/S0002-9939-1953-0058665-3
- MathSciNet review: 0058665