Complex polynomial interpolation to continuous boundary data

Author:
Maynard Thompson

Journal:
Proc. Amer. Math. Soc. **20** (1969), 327-332

MSC:
Primary 30.70

DOI:
https://doi.org/10.1090/S0002-9939-1969-0239100-0

MathSciNet review:
0239100

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**[1]**J. H. Curtiss,*Riemann sums and the fundamental polynomials of Lagrange interpolation*, Duke Math. J.**8**(1941), 525–532. MR**0005190****[2]**J. H. Curtiss,*Interpolation with harmonic and complex polynomials to boundary values.*, J. Math. Mech.**9**(1960), 167–192. MR**0114060****[3]**G. H. Hardy and J. E. Littlewood,*A maximal theorem with function-theoretic applications*, Acta Math.**54**(1930), no. 1, 81–116. MR**1555303**, https://doi.org/10.1007/BF02547518**[4]**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**[5]**Gerald R. Mac Lane,*Polynomials with zeros on a rectifiable Jordan curve*, Duke Math. J.**16**(1949), 461–477. MR**0030594****[6]**Maynard Thompson,*Approximation by polynomials whose zeros lie on a curve*, Duke Math. J.**31**(1964), 255–265. MR**0160916****[7]**Maynard Thompson,*On the distribution of asymptotically neutral families*, Entire Functions and Related Parts of Analysis (Proc. Sympos. Pure Math., La Jolla, Calif., 1966) Amer. Math. Soc., Providence, R.I., 1968, pp. 475–479. MR**0236344****[8]**J. L. Walsh,*Interpolation and approximation by rational functions in the complex domain*, Third edition. American Mathematical Society Colloquium Publications, Vol. XX, American Mathematical Society, Providence, R.I., 1960. MR**0218587**

J. L. Walsh,*Interpolation and approximation by rational functions in the complex domain*, Fourth edition. American Mathematical Society Colloquium Publications, Vol. XX, American Mathematical Society, Providence, R.I., 1965. MR**0218588**

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DOI:
https://doi.org/10.1090/S0002-9939-1969-0239100-0

Article copyright:
© Copyright 1969
American Mathematical Society