Dunham Jackson 1888-1946
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- Bull. Amer. Math. Soc. 54 (1948), 847-860
References
- Dunham Jackson, Resolution into involutory substitutions of the transformations of a non-singular bilinear form into itself, Trans. Amer. Math. Soc. 10 (1909), no. 4, 479–484. MR 1500850, DOI 10.1090/S0002-9947-1909-1500850-3 2. Dunham Jackson, Über die Genauigkeit der Annäherung stetiger Funktionen durch ganze rationale Funktionen gegebenen Grades und trigonometrische Summen gegebener Ordnung, Gekrönte Preisschrift und Inaugural-Dissertation, Göttingen University, 1911, pamphlet, 98 pp.
- Dunham Jackson, On the degree of convergence of the development of a continuous function according to Legendre’s polynomials, Trans. Amer. Math. Soc. 13 (1912), no. 3, 305–318. MR 1500920, DOI 10.1090/S0002-9947-1912-1500920-X
- Dunham Jackson, On approximation by trigonometric sums and polynomials, Trans. Amer. Math. Soc. 13 (1912), no. 4, 491–515. MR 1500930, DOI 10.1090/S0002-9947-1912-1500930-2
- Dunham Jackson, On the approximate representation of an indefinite integral and the degree of convergence of related Fourier’s series, Trans. Amer. Math. Soc. 14 (1913), no. 3, 343–364. MR 1500952, DOI 10.1090/S0002-9947-1913-1500952-2
- Dunham Jackson, On the accuracy of trigonometric interpolation, Trans. Amer. Math. Soc. 14 (1913), no. 4, 453–461. MR 1500957, DOI 10.1090/S0002-9947-1913-1500957-1 7. Dunham Jackson, A formula of trigonometric interpolation, Rend. Circ. Mat. Palermo vol. 37 (1914) pp. 371-375.
- Dunham Jackson, On the degree of convergence of Sturm-Liouville series, Trans. Amer. Math. Soc. 15 (1914), no. 4, 439–466. MR 1500989, DOI 10.1090/S0002-9947-1914-1500989-4 9. Dunham Jackson, Expansion problems with irregular boundary conditions, Proceedings of the American Academy of Arts and Sciences vol. 51 (1915) pp. 381-417. 10. Dunham Jackson, Note on rational functions of several complex variables, J. Reine Angew. Math. vol. 146 (1916) pp. 185-188.
- Dunham Jackson, Non-essential singularities of functions of several complex variables, Ann. of Math. (2) 17 (1916), no. 4, 172–179. MR 1503579, DOI 10.2307/2007204
- Dunham Jackson, Algebraic properties of self-adjoint systems, Trans. Amer. Math. Soc. 17 (1916), no. 4, 418–424. MR 1501050, DOI 10.1090/S0002-9947-1916-1501050-7
- Dunham Jackson, Note on representations of the partial sum of a Fourier’s series, Ann. of Math. (2) 18 (1917), no. 3, 139–146. MR 1503595, DOI 10.2307/2007119
- Dunham Jackson, Roots and singular points of semi-analytic functions, Ann. of Math. (2) 19 (1917), no. 2, 142–151. MR 1502523, DOI 10.2307/1967771
- Dunham Jackson, On the order of magnitude of the coefficients in trigonometric interpolation, Trans. Amer. Math. Soc. 21 (1920), no. 3, 321–332. MR 1501147, DOI 10.1090/S0002-9947-1920-1501147-2 16. Dunham Jackson, Note on a method of proof in the theory of Fourier series, Bull. Amer. Math. Soc. vol. 27 (1920) pp. 108-110.
- Dunham Jackson, On functions of closest approximation, Trans. Amer. Math. Soc. 22 (1921), no. 1, 117–128. MR 1501163, DOI 10.1090/S0002-9947-1921-1501163-1
- Dunham Jackson, On the convergence of certain trigonometric and polynomial approximations, Trans. Amer. Math. Soc. 22 (1921), no. 2, 158–166. MR 1501167, DOI 10.1090/S0002-9947-1921-1501167-9 19. Dunham Jackson, The general theory of approximation by polynomials and trigonometric sums, Bull. Amer. Math. Soc. vol. 27 (1921) pp. 415-431.
- Dunham Jackson, Note on a class of polynomials of approximation, Trans. Amer. Math. Soc. 22 (1921), no. 3, 320–326. MR 1501177, DOI 10.1090/S0002-9947-1921-1501177-1
- Dunham Jackson, Note on the Picard method of successive approximations, Ann. of Math. (2) 23 (1921), no. 1, 75–77. MR 1502597, DOI 10.2307/1967786 22. Dunham Jackson, Note on an irregular expansion problem, Bull. Amer. Math. Soc. vol. 28 (1922) pp. 37-41. 23. Dunham Jackson, Note on quartiles and allied measures, Bull. Amer. Math. Soc. vol. 29 (1923) pp. 17-20. 24. Dunham Jackson, Note on convergence of weighted trigonometric series, Bull. Amer. Math. Soc. vol. 29 (1923) pp. 259-263.
- Dunham Jackson, Note on an ambiguous case of approximation, Trans. Amer. Math. Soc. 25 (1923), no. 3, 333–337. MR 1501249, DOI 10.1090/S0002-9947-1923-1501249-3
- Dunham Jackson, On approximation by functions of given continuity, Trans. Amer. Math. Soc. 25 (1923), no. 3, 449–458. MR 1501253, DOI 10.1090/S0002-9947-1923-1501253-5
- Dunham Jackson, A generalized problem in weighted approximation, Trans. Amer. Math. Soc. 26 (1924), no. 1, 133–154. MR 1501269, DOI 10.1090/S0002-9947-1924-1501269-X 28. Dunham Jackson, A symmetric coefficient of correlation for several variables, Bull. Amer. Math. Soc. vol. 30 (1924) pp. 536-542.
- Dunham Jackson, On the method of least $m$th powers for a set of simultaneous equations, Ann. of Math. (2) 25 (1924), no. 3, 185–192. MR 1502661, DOI 10.2307/1967908
- Dunham Jackson, A General Class of Problems in Approximation, Amer. J. Math. 46 (1924), no. 4, 215–234. MR 1506532, DOI 10.2307/2370858
- Dunham Jackson, On the trigonometric representation of an ill-defined function, Ann. of Math. (2) 26 (1924), no. 1-2, 8–20. MR 1502672, DOI 10.2307/1967739 32. Dunham Jackson, The geometry of frequency functions, Bull. Amer. Math. Soc. vol. 31 (1925) pp. 63-73. 33. Dunham Jackson, Note on a problem of approximation with auxiliary conditions, Bull. Amer. Math. Soc. vol. 32 (1926) pp. 259-262.
- Dunham Jackson, Some convergence proofs in the vector analysis of function space, Ann. of Math. (2) 27 (1926), no. 4, 551–567. MR 1502757, DOI 10.2307/1967705 35. Dunham Jackson, On the approximate representation of analytic functions, Bull. Amer. Math. Soc. vol. 34 (1928) pp. 56-62.
- Dunham Jackson, Some non-linear problems in approximation, Trans. Amer. Math. Soc. 30 (1928), no. 4, 621–629. MR 1501450, DOI 10.1090/S0002-9947-1928-1501450-3 37. Dunham Jackson, On certain problems of approximation in the complex domain, Bull. Amer. Math. Soc. vol. 36 (1930) pp. 851-857.
- Dunham Jackson, The theory of approximation, American Mathematical Society Colloquium Publications, vol. 11, American Mathematical Society, Providence, RI, 1994. Reprint of the 1930 original. MR 1451140 39. Dunham Jackson, Note on the convergence of a sequence of approximating polynomials, Bull. Amer. Math. Soc. vol. 37 (1931) pp. 69-72. 40. Dunham Jackson, On the application of Markoff’s theorem to problems of approximation in the complex domain, Bull. Amer. Math. Soc. vol. 37 (1931) pp. 883-890.
- Dunham Jackson, Problems of Approximation with Integral Auxiliary Conditions, Amer. J. Math. 55 (1933), no. 1-4, 153–166. MR 1506953, DOI 10.2307/2371119
- Dunham Jackson, Series of orthogonal polynomials, Ann. of Math. (2) 34 (1933), no. 3, 527–545. MR 1503122, DOI 10.2307/1968176
- Dunham Jackson, The Convergence of Some Non-Linear Processes of Approximation, Amer. J. Math. 55 (1933), no. 1-4, 515–524. MR 1506982, DOI 10.2307/2371148 44. Dunham Jackson, Certain problems of closest approximation, Bull. Amer. Math. Soc. vol. 39 (1933) pp. 889-906.
- Dunham Jackson, Orthogonal trigonometric sums, Ann. of Math. (2) 34 (1933), no. 4, 799–814. MR 1503134, DOI 10.2307/1968700
- Dunham Jackson, The Convergence of Fourier Series, Amer. Math. Monthly 41 (1934), no. 2, 67–84. MR 1523000, DOI 10.2307/2300327
- Dunham Jackson, Note on certain orthogonal polynomials, Bull. Amer. Math. Soc. 47 (1941), 96–102. MR 3853, DOI 10.1090/S0002-9904-1941-07372-6
- Dunham Jackson, Mathematical Principles in the Theory of Small Samples, Amer. Math. Monthly 42 (1935), no. 6, 344–364. MR 1523397, DOI 10.2307/2301355
- Dunham Jackson, Bernstein’s theorem and trigonometric approximation, Trans. Amer. Math. Soc. 40 (1936), no. 2, 225–251. MR 1501872, DOI 10.1090/S0002-9947-1936-1501872-5
- Dunham Jackson, Formal properties of orthogonal polynomials in two variables, Duke Math. J. 2 (1936), no. 3, 423–434. MR 1545933, DOI 10.1215/S0012-7094-36-00233-8
- 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, The boundedness of orthonormal polynomials on certain curves of the third degree, Bull. Amer. Math. Soc. 52 (1946), 899–907. MR 17446, DOI 10.1090/S0002-9904-1946-08670-X
- Dunham Jackson, Problems of Closest Approximation on a Two-Dimensional Region, Amer. J. Math. 60 (1938), no. 2, 436–446. MR 1507324, DOI 10.2307/2371305
- Dunham Jackson, Orthogonal polynomials in two complex variables, Ann. of Math. (2) 39 (1938), no. 2, 262–268. MR 1503404, DOI 10.2307/1968783
- 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 class of orthogonal functions on plane curves, Ann. of Math. (2) 40 (1939), 521–532. MR 80, DOI 10.2307/1968936
- 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
- Dunham Jackson, Fourier Series and Orthogonal Polynomials, Carus Monograph Series, no. 6, Mathematical Association of America, Oberlin, Ohio, 1941. MR 0005912, DOI 10.5948/UPO9781614440062
- Dunham Jackson, Generalization of a theorem of Korous on the bounds of orthonormal polynomials, Bull. Amer. Math. Soc. 48 (1942), 602–608. MR 6784, DOI 10.1090/S0002-9904-1942-07746-9
- Dunham Jackson, Boundedness of orthonormal polynomials on loci of the second degree, Duke Math. J. 11 (1944), 351–365. MR 10735
- 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 12719, DOI 10.1090/S0002-9947-1945-0012719-6
- Dunham Jackson, The boundedness of orthonormal polynomials on certain curves of the third degree, Bull. Amer. Math. Soc. 52 (1946), 899–907. MR 17446, DOI 10.1090/S0002-9904-1946-08670-X
- Dunham Jackson, The boundedness of orthonormal polynomials on certain curves of the fourth degree, Trans. Amer. Math. Soc. 63 (1948), 193–206. MR 23956, DOI 10.1090/S0002-9947-1948-0023956-1
Additional Information
- Journal: Bull. Amer. Math. Soc. 54 (1948), 847-860
- DOI: https://doi.org/10.1090/S0002-9904-1948-09068-1
- MathSciNet review: 1565085