Bounded approximation by polynomials whose zeros lie on a circle
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- by Charles Kam-tai Chui
- Trans. Amer. Math. Soc. 138 (1969), 171-182
- DOI: https://doi.org/10.1090/S0002-9947-1969-0237795-3
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References
- Charles Kam-tai Chui, Bounded approximation by polynomials with restricted zeros, Bull. Amer. Math. Soc. 73 (1967), 967–972. MR 218584, DOI 10.1090/S0002-9904-1967-11867-6 —, Bounded approximation by polynomials with restricted zeros, Ph.D. Thesis, Univ. of Wisconsin, Madison, 1967.
- Jacob Korevaar and Charles K. Chui, Potentials of families of unit masses on disjoint Jordan curves, Abstract Spaces and Approximation (Proc. Conf., Oberwolfach, 1968) Birkhäuser, Basel, 1969, pp. 338–350. MR 0262528
- Kenneth Hoffman, Banach spaces of analytic functions, Prentice-Hall Series in Modern Analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR 0133008
- Jacob Korevaar, Asymptotically neutral distributions of electrons and polynomial approximation, Ann. of Math. (2) 80 (1964), 403–410. MR 168775, DOI 10.2307/1970655
- Jacob Korevaar, Limits of polynomials whose zeros lie in a given set, Entire Functions and Related Parts of Analysis (Proc. Sympos. Pure Math., La Jolla, Calif., 1966) Amer. Math. Soc., Providence, R.I., 1968, pp. 261–272. MR 0233961
- Gerald R. Mac Lane, Polynomials with zeros on a rectifiable Jordan curve, Duke Math. J. 16 (1949), 461–477. MR 30594
- Maynard Thompson, Approximation by polynomials whose zeros lie on a curve, Duke Math. J. 31 (1964), 255–265. MR 160916
- A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. MR 0107776
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 138 (1969), 171-182
- MSC: Primary 30.70
- DOI: https://doi.org/10.1090/S0002-9947-1969-0237795-3
- MathSciNet review: 0237795