Approximation by bounded analytic functions
Mémorial des sciences mathématiques, no. 144 (1960) , 76 p. 
@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},
     mrnumber = {119001},
     zbl = {0094.04501},
     language = {en},
     url = {http://www.numdam.org/item/MSM_1960__144__1_0/}
}
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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].

[1919] C. J. De La Vallée Poussin, l'approximation des fonctions d'une variable réelle, Paris. | JFM

[1934] J. L. Walsh and H. G. Russell, On the convergence and overconvergence of sequences of polynomials of best simultaneous approximation to several functions analytic in distinct regions (Trans. Amer. Math. Soc., vol. 36, p. 13-28). | Zbl | MR

[1935] J. L. Walsh, Interpolation and approximation by rational functions in the complex domain (Colloquium Publications of the Amer. Math. Soc., vol. 20; second edition, 1956). | Zbl | MR | JFM

[1936] J. H. Curtiss, A note on degree of polynomial approximation (Bull. Amer. Math. Soc., vol. 42, p. 873-878). | MR | JFM

[1937] J. L. Walsh and W. E. Sewell, Note on the relation between continuity and degree of polynomial approximation in the complex domain (Bull. Amer. Math. Soc., vol. 43, p. 557-563). | MR | JFM

[1938] J. L. Walsh, On interpolation and approximation by functions analytic and bounded in a given region (Proc Nat. Acad. Sc., vol. 24, p. 477-486). | JFM

[1939] J. L. Walsh, On interpolation by functions analytic and bounded in a given region (Trans. Amer. Math. Soc., vol. 46, p. 46 65). | MR | JFM

[1940] J. L. Walsh, Note on the degree of convergence of sequence of analytic functions (Trans. Amer. Math. Soc., vol. 47, p. 293-304). | Zbl | MR

[1942] W. E. Sewell, Degree of approximation by polynomials in the complex domain (Ann. Math. Studies, N°. 9). | Zbl | MR | JFM

[1944] E. N. Nilson and J. L. Walsh, Interpolation and approximation by functions analytic and bounded in a given region (Trans. Amer. Math. Soc., vol. 55, p. 53 67). | Zbl | MR

[1945] A. Zygmund, Smooth functions (Duke Math. J., vol. 12, p. 47-76). | Zbl | MR

[1946] J. L. Walsh, Taylor's series and approximation to analytic functions (Bull. Amer. Math. Soc., vol. 52, p. 572-579). | Zbl | MR

[1946 a] J. L. Walsh, Overconvergence, degree of convergence, and zeros of sequences of analytic functions (Duke Math. J., vol. 13, p. 195-234). | Zbl | MR

[1946 b] A. Spitzbart, Approximation in the sense of least pth powers with a single auxiliary condition of interpolation (Bull. Amer. Math. Soc., vol. 52, p. 338-346). | Zbl | MR

[1949] J. L. Walsh and E. N. Nilson, On functions analytic in a region : approximation in the sense of least pth powers (Trans. Amer. Math. Soc., vol. 65, p. 239-258). | Zbl | MR

[1949 a] J. L. Walsh, W. E. Sewell and H. M. Elliott, On the degree of polynomial approximation to harmonic and analytic functions (Trans. Amer. Math. Soc., vol. 67, p. 381-420). | Zbl | MR

[1950] J. L. Walsh and H. M. Elliott, Polynomial approximation to harmonie and analytic functions : generalized continuity conditions (Trans. Amer. Math. Soc., vol. 68, p. 183-203). | Zbl | MR

[1950 a] J. L. Walsh and H. G. Russell, On simultaneous interpolation and approximation by functions analytic in a given region (Trans. Amer. Math. Soc., vol. 69, p. 416-439). | Zbl | MR

[1951] J. L. Walsh, Note on approximation by bounded analytic functions (Proc. Nat. Acad. Sc., vol. 37, p. 821-826). | Zbl | MR

[1951 a] H. M. Elliott, On approximation to functions satisfying a generalized continuity condition (Trans. Amer. Math. Soc., vol. 71, p. 1-23). | Zbl | MR

[1952] J. L. Walsh, Polynomial expansions of functions defined by Cauchys integral (J. Math, pures et appl., vol. 31, p. 221-244). | Zbl | MR

[1952 a] J. L. Walsh and Philip Davis, Interpolation and orthonormal systems (J. Anal. math., vol. 2, p. 1-28). | Zbl | MR

[1952 b] J. L. Walsh, Degree of approximation to functions on a Jordan curve (Trans. Amer. Math. Soc., vol. 73, p. 447-458). | Zbl | MR

[1952 c] J. L. Walsh and H. M. Elliott, Degree of approximation on a Jordan curve (Proc. Nat. Acad. Sc., vol. 38, p. 1058-1066). | Zbl | MR

[1952 d] Philip Davis, An application of doubly orthogonal functions to a problem of approximation in two regions (Trans. Amer. Math. Soc., vol. 72, p. 104-137). | Zbl | MR

[1954] J. L. Walsh and J. P. Evans, On approximation by bounded analytic functions (Archiv. der Math., vol. 5, p. 191-196). | Zbl | MR

[1954 a] J. L. Walsh, Détermination d'une fonction analytique par ses valeurs données dans une infinité dénombrable de points (Bull. Soc. math. Belgique, p. 52-70). | Zbl | MR

[1954 b] J. L. Walsh, An interpolation problem for harmonic functions (Amer. J. Math., vol. 76, p. 259-272). | Zbl | MR

[1955] J. P. Evans and J. L. Walsh, On interpolation to a given analytic function by analytic functions of minimum norm (Trans. Amer. Math. Soc., vol. 79, p. 158-172). | Zbl | MR

[1955 a] J. L. Walsh, Sur l'approximation par fonctions rationnelles et par fonctions holomorphes bornées (Annali di Matematica, vol. 39, p. 267-277). | Zbl | MR

[1956] J. L. Walsh, On the conformal mapping of multiply connected regions (Trans. Amer. Math. Soc., vol. 82, p. 128-146). | Zbl | MR

[1956 a] J. L. Walsh, Note on degree of approximation to analytic functions by rational functions with preassigned poles (Proc. Nat. Acad. Sc., vol. 42, p. 927 930). | Zbl | MR

[1958] J. L. Walsh, On approximation by bounded analytic functions (Trans. Amer. Math. Soc., vol. 87, p. 467-484). | Zbl | MR

[1959] J. L. Walsh, Approximation on a line segment by bounded analytic functions : Problem β (Proc. Amer. Math. Soc., vol. 10, p. 270-272). | Zbl | MR

[1959 a] J. L. Walsh, 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). | Zbl | MR

[1959 b] J. L. Walsh, Approximation by bounded analytic functions : general configurations (Proc. Amer. Math. Soc., vol. 10, p. 280-285). | Zbl | MR

[1959 c] J. L. Walsh and H. G. Russell, Integrated continuity conditions and degree of approximation by polynomials or by bounded analytic functions (Trans. Amer. Math. Soc., vol. 92, p. 355 370). | Zbl | MR

[1959 d] J. L. Walsh, Note on approximation by bounded analytic functions (Problem α) (Math. Z., vol. 72, p. 47-52. | Zbl | MR

[1959 e] J. L. Walsh, Note on invariance of degree of polynomial and trigonometrie approximation under change of independent variable (Proc. Nat. Acad. Sc., vol. 45, p. 1528-1533). | Zbl | MR

[1959 f] J. L. Walsh, The analogue for maximally convergent polynomials of Jentzsch's theorem (Duke Math. J., vol. 26, p. 605-616). | Zbl

[1960] J. L. Walsh, On degree of approximation by bounded harmonic functions (J. Math, pures et appl., vol. 39). | Zbl | MR