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The boundedness of orthonormal polynomials on certain curves of the third degree
Author:
Dunham Jackson
Journal:
Bull. Amer. Math. Soc. 52 (1946), 899-907
MathSciNet review:
0017446
Full-text PDF
References |
Additional Information
- 1.
Dunham
Jackson, Orthogonal polynomials with auxiliary
conditions, Trans. Amer. Math. Soc. 48 (1940), 72–81. MR 0002684
(2,98f), http://dx.doi.org/10.1090/S0002-9947-1940-0002684-5
- 2.
Dunham
Jackson, Fourier Series and Orthogonal Polynomials, Carus
Monograph Series, no. 6, Mathematical Association of America, Oberlin,
Ohio, 1941. MR
0005912 (3,230f)
- 3.
Dunham
Jackson, Generalization of a theorem of Korous
on the bounds of orthonormal polynomials, Bull.
Amer. Math. Soc. 48
(1942), 602–608. MR 0006784
(4,41e), http://dx.doi.org/10.1090/S0002-9904-1942-07746-9
- 4.
Dunham
Jackson, Boundedness of orthonormal polynomials on loci of the
second degree, Duke Math. J. 11 (1944),
351–365. MR 0010735
(6,62c)
- 5.
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
(7,64c), http://dx.doi.org/10.1090/S0002-9947-1945-0012719-6
- 6.
Fulton
Koehler, Systems of orthogonal polynomials on
certain algebraic curves, Bull. Amer. Math.
Soc. 46 (1940),
345–351. MR 0003287
(2,194g), http://dx.doi.org/10.1090/S0002-9904-1940-07219-2
- 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.
- 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:
http://dx.doi.org/10.1090/S0002-9904-1946-08670-X
PII:
S 0002-9904(1946)08670-X
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