Bounded approximation by polynomials whose zeros lie on a circle

Author:
Charles Kam-tai Chui

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

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References | Similar Articles | Additional Information

**[1]**Charles Kam-tai Chui,*Bounded approximation by polynomials with restricted zeros*, Bull. Amer. Math. Soc.**73**(1967), 967–972. MR**0218584**, https://doi.org/10.1090/S0002-9904-1967-11867-6**[2]**-,*Bounded approximation by polynomials with restricted zeros*, Ph.D. Thesis, Univ. of Wisconsin, Madison, 1967.**[3]**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****[4]**Kenneth Hoffman,*Banach spaces of analytic functions*, Prentice-Hall Series in Modern Analysis, Prentice-Hall, Inc., Englewood Cliffs, N. J., 1962. MR**0133008****[5]**Jacob Korevaar,*Asymptotically neutral distributions of electrons and polynomial approximation*, Ann. of Math. (2)**80**(1964), 403–410. MR**0168775**, https://doi.org/10.2307/1970655**[6]**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****[7]**Gerald R. Mac Lane,*Polynomials with zeros on a rectifiable Jordan curve*, Duke Math. J.**16**(1949), 461–477. MR**0030594****[8]**Maynard Thompson,*Approximation by polynomials whose zeros lie on a curve*, Duke Math. J.**31**(1964), 255–265. MR**0160916****[9]**A. Zygmund,*Trigonometric series. 2nd ed. Vols. I, II*, Cambridge University Press, New York, 1959. MR**0107776**

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DOI:
https://doi.org/10.1090/S0002-9947-1969-0237795-3

Article copyright:
© Copyright 1969
American Mathematical Society