@book{MSM_1960__144__1_0, author = {Walsh, J. L.}, title = {Approximation by bounded analytic functions}, series = {M\'emorial des sciences math\'ematiques}, publisher = {Gauthier-Villars}, number = {144}, year = {1960}, zbl = {0094.04501}, mrnumber = {119001}, language = {en}, url = {http://www.numdam.org/item/MSM_1960__144__1_0/} }
TY - BOOK AU - Walsh, J. L. TI - Approximation by bounded analytic functions T3 - Mémorial des sciences mathématiques PY - 1960 DA - 1960/// IS - 144 PB - Gauthier-Villars UR - http://www.numdam.org/item/MSM_1960__144__1_0/ UR - https://zbmath.org/?q=an%3A0094.04501 UR - https://www.ams.org/mathscinet-getitem?mr=119001 LA - en ID - MSM_1960__144__1_0 ER -
Walsh, J. L. Approximation by bounded analytic functions. Mémorial des sciences mathématiques, no. 144 (1960), 76 p. http://numdam.org/item/MSM_1960__144__1_0/
Références in the text are made by citing the dates indicated; further références are given in [1935].
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,[1946 a] Overconvergence, degree of convergence, and zeros of sequences of analytic functions (Duke Math. J., vol. 13, p. 195-234). | MR 17797 | Zbl 0063.08149
,[1946 b] Approximation in the sense of least pth powers with a single auxiliary condition of interpolation (Bull. Amer. Math. Soc., vol. 52, p. 338-346). | MR 15483 | Zbl 0061.14209
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,[1952] Polynomial expansions of functions defined by Cauchys integral (J. Math, pures et appl., vol. 31, p. 221-244). | MR 51919 | Zbl 0049.05203
,[1952 a] Interpolation and orthonormal systems (J. Anal. math., vol. 2, p. 1-28). | MR 66461 | Zbl 0049.05301
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,[1952 c] Degree of approximation on a Jordan curve (Proc. Nat. Acad. Sc., vol. 38, p. 1058-1066). | MR 53229 | Zbl 0049.05204
and ,[1952 d] An application of doubly orthogonal functions to a problem of approximation in two regions (Trans. Amer. Math. Soc., vol. 72, p. 104-137). | MR 46434 | Zbl 0046.08101
,[1954] On approximation by bounded analytic functions (Archiv. der Math., vol. 5, p. 191-196). | MR 62224 | Zbl 0055.06801
and ,[1954 a] Détermination d'une fonction analytique par ses valeurs données dans une infinité dénombrable de points (Bull. Soc. math. Belgique, p. 52-70). | MR 74527 | Zbl 0065.06303
,[1954 b] An interpolation problem for harmonic functions (Amer. J. Math., vol. 76, p. 259-272). | MR 66510 | Zbl 0055.09003
,[1955] On interpolation to a given analytic function by analytic functions of minimum norm (Trans. Amer. Math. Soc., vol. 79, p. 158-172). | MR 69274 | Zbl 0064.31502
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,[1959] Approximation on a line segment by bounded analytic functions : Problem β (Proc. Amer. Math. Soc., vol. 10, p. 270-272). | MR 107720 | Zbl 0091.06502
,[1959 a] Note on least-square approximation to an analytic function by polynomials, as measured by a surface integral (Proc. Amer. Math. Soc., vol. 10, p. 273-279). | MR 123725 | Zbl 0098.04902
,[1959 b] Approximation by bounded analytic functions : general configurations (Proc. Amer. Math. Soc., vol. 10, p. 280-285). | MR 107721 | Zbl 0091.06601
,[1959 c] Integrated continuity conditions and degree of approximation by polynomials or by bounded analytic functions (Trans. Amer. Math. Soc., vol. 92, p. 355 370). | MR 108595 | Zbl 0098.04901
and ,[1959 d] Note on approximation by bounded analytic functions (Problem α) (Math. Z., vol. 72, p. 47-52. | MR 109893 | Zbl 0088.28101
,[1959 e] Note on invariance of degree of polynomial and trigonometrie approximation under change of independent variable (Proc. Nat. Acad. Sc., vol. 45, p. 1528-1533). | MR 123869 | Zbl 0095.05504
,[1959 f] The analogue for maximally convergent polynomials of Jentzsch's theorem (Duke Math. J., vol. 26, p. 605-616). | Zbl 0091.06602
,[1960] On degree of approximation by bounded harmonic functions (J. Math, pures et appl., vol. 39). | MR 151625 | Zbl 0095.27703
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