The boundedness of certain sets of orthonormal polynomials in one, two, and three variables
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- by Dunham Jackson
- Trans. Amer. Math. Soc. 58 (1945), 167-183
- DOI: https://doi.org/10.1090/S0002-9947-1945-0012719-6
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References
- G. E. Albert and L. H. Miller, Equiconvergence theorems for orthonormal polynomials, Bull. Amer. Math. Soc. 50 (1944), 358–367. MR 10220, DOI 10.1090/S0002-9904-1944-08143-3
- Dunham Jackson, Orthogonal polynomials on a plane curve, Duke Math. J. 3 (1937), no. 2, 228–236. MR 1545982, DOI 10.1215/S0012-7094-37-00316-8
- Dunham Jackson, Orthogonal polynomials in three variables, Duke Math. J. 4 (1938), no. 3, 441–454. MR 1546066, DOI 10.1215/S0012-7094-38-00437-5
- Dunham Jackson, A new class of orthogonal polynomials, Amer. Math. Monthly 46 (1939), 493–497. MR 321, DOI 10.2307/2302518
- Dunham Jackson, Orthogonal polynomials with auxiliary conditions, Trans. Amer. Math. Soc. 48 (1940), 72–81. MR 2684, DOI 10.1090/S0002-9947-1940-0002684-5 —, Fourier series and orthogonal polynomials, Carus Mathematical Monographs, No. 6, 1941.
- Dunham Jackson, Boundedness of orthonormal polynomials on loci of the second degree, Duke Math. J. 11 (1944), 351–365. MR 10735
- Fulton Koehler, Systems of orthogonal polynomials on certain algebraic curves, Bull. Amer. Math. Soc. 46 (1940), 345–351. MR 3287, DOI 10.1090/S0002-9904-1940-07219-2 G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloquium Publications, vol. 23, 1939.
Bibliographic Information
- © Copyright 1945 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 58 (1945), 167-183
- MSC: Primary 41.1X
- DOI: https://doi.org/10.1090/S0002-9947-1945-0012719-6
- MathSciNet review: 0012719