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

Author:
Dunham Jackson

Journal:
Bull. Amer. Math. Soc. **52** (1946), 899-907

DOI:
https://doi.org/10.1090/S0002-9904-1946-08670-X

MathSciNet review:
0017446

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References | Additional Information

**1.**D. Jackson,*Orthogonal polynomials with auxiliary conditions*, Trans. Amer. Math. Soc. vol. 48 (1940) pp. 72-81. MR**2684****2.**D. Jackson,*Fourier series and orthogonal polynomials*, Carus Mathematical Monographs, no. 6, 1941. MR**5912****3.**D. Jackson,*Generalization of a theorem of Korous on the bounds of orthonormal polynomials*, Bull. Amer. Math. Soc. vol. 48 (1942) pp. 602-608. MR**6784****4.**D. Jackson,*Boundedness of orthonormal polynomials on loci of the second degree*, Duke Math. J. vol. 11 (1944) pp. 351-365. MR**10735****5.**D. Jackson,*The boundedness of certain sets of orthonormal polynomials in one, two, and three variables*, Trans. Amer. Math. Soc. vol. 58 (1945) pp. 167-183. MR**12719****6.**F. Koehler,*Systems of orthogonal polynomials on certain algebraic curves*, Bull. Amer. Math. Soc. vol. 46 (1940) pp. 345-351. MR**3287****7.**Margaret Martin,*Some new systems of orthogonal polynomials on algebraic curves*, Thesis, University of Minnesota, 1944, not yet published.**8.**G. Szegö,*Orthogonal polynomials*, Amer. Math. Soc. Colloquium Publications, vol. 23, 1939.

Additional Information

DOI:
https://doi.org/10.1090/S0002-9904-1946-08670-X