The boundedness of orthonormal polynomials on certain curves of the fourth degree

Author:
Dunham Jackson

Journal:
Trans. Amer. Math. Soc. **63** (1948), 193-206

MSC:
Primary 41.1X

MathSciNet review:
0023956

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References | Similar Articles | Additional Information

**[1]**Dunham Jackson,*Orthogonal trigonometric sums*, Ann. of Math. (2)**34**(1933), no. 4, 799–814. MR**1503134**, 10.2307/1968700**[2]**Dunham Jackson,*Orthogonal polynomials on a plane curve*, Duke Math. J.**3**(1937), no. 2, 228–236. MR**1545982**, 10.1215/S0012-7094-37-00316-8**[3]**Dunham Jackson,*Polynomial approximation on a curve of the fourth degree*, Bull. Amer. Math. Soc.**43**(1937), no. 6, 388–393. MR**1563548**, 10.1090/S0002-9904-1937-06560-8**[4]**Dunham Jackson,*Orthogonal polynomials with auxiliary conditions*, Trans. Amer. Math. Soc.**48**(1940), 72–81. MR**0002684**, 10.1090/S0002-9947-1940-0002684-5**[5]**Dunham Jackson,*Fourier Series and Orthogonal Polynomials*, Carus Monograph Series, no. 6, Mathematical Association of America, Oberlin, Ohio, 1941. MR**0005912****[6]**Dunham Jackson,*Generalization of a theorem of Korous on the bounds of orthonormal polynomials*, Bull. Amer. Math. Soc.**48**(1942), 602–608. MR**0006784**, 10.1090/S0002-9904-1942-07746-9**[7]**Dunham Jackson,*Boundedness of orthonormal polynomials on loci of the second degree*, Duke Math. J.**11**(1944), 351–365. MR**0010735****[8]**Dunham Jackson,*The boundedness of certain sets of orthonormal polynomials in one, two, and three variables*, Trans. Amer. Math. Soc.**58**(1945), 167–183. MR**0012719**, 10.1090/S0002-9947-1945-0012719-6**[9]**Dunham Jackson,*The boundedness of orthonormal polynomials on certain curves of the third degree*, Bull. Amer. Math. Soc.**52**(1946), 899–907. MR**0017446**, 10.1090/S0002-9904-1946-08670-X**[10]**Fulton Koehler,*Systems of orthogonal polynomials on certain algebraic curves*, Bull. Amer. Math. Soc.**46**(1940), 345–351. MR**0003287**, 10.1090/S0002-9904-1940-07219-2**[11]**Margaret Martin,*Some new systems of orthogonal polynomials on algebraic curves*, Thesis, University of Minnesota, not yet published.**[12]**G. Szegö,*Orthogonal polynomials*, Amer. Math. Soc. Colloquium Publications, vol. 23, 1939.

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DOI:
https://doi.org/10.1090/S0002-9947-1948-0023956-1

Article copyright:
© Copyright 1948
American Mathematical Society