Approximation by bounded analytic functions

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1. Références in the text are made by citing the dates indicated; further références are given in [1935]. 
2. [1919] C. J. DE LA VALLÉE POUSSIN, l'approximation des fonctions d'une variable réelle, Paris. JFM46.0416.03
3. [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). Zbl0008.21402MR1501732
4. [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). Zbl0146.29902MR218588JFM61.0315.01
5. [1936] J. H. CURTISS, A note on degree of polynomial approximation (Bull. Amer. Math. Soc., vol. 42, p. 873-878). Zbl0016.01903MR1563457JFM62.1205.02
6. [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). Zbl0017.39503MR1563586JFM63.0259.01
7. [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). Zbl0019.40401JFM64.0290.01
8. [1939] J. L. WALSH, On interpolation by functions analytic and bounded in a given region (Trans. Amer. Math. Soc., vol. 46, p. 46 65). Zbl0021.39904MR55JFM65.0323.01
9. [1940] J. L. WALSH, Note on the degree of convergence of sequence of analytic functions (Trans. Amer. Math. Soc., vol. 47, p. 293-304). Zbl0025.32002MR1866
10. [1942] W. E. SEWELL, Degree of approximation by polynomials in the complex domain (Ann. Math. Studies, N°. 9). Zbl0063.08342MR7054JFM64.0274.03
11. [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). Zbl0061.14210MR9196
12. [1945] A. ZYGMUND, Smooth functions (Duke Math. J., vol. 12, p. 47-76). Zbl0060.13806MR12691
13. [1946] J. L. WALSH, Taylor's series and approximation to analytic functions (Bull. Amer. Math. Soc., vol. 52, p. 572-579). Zbl0061.14304MR17362
14. [1946 a] J. L. WALSH, Overconvergence, degree of convergence, and zeros of sequences of analytic functions (Duke Math. J., vol. 13, p. 195-234). Zbl0063.08149MR17797
15. [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). Zbl0061.14209MR15483
16. [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). Zbl0035.16904MR28956
17. [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). Zbl0035.17102MR33920
18. [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). Zbl0037.05401MR33921
19. [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). Zbl0041.04102MR41212
20. [1951] J. L. WALSH, Note on approximation by bounded analytic functions (Proc. Nat. Acad. Sc., vol. 37, p. 821-826). Zbl0044.07805MR45206
21. [1951 a] H. M. ELLIOTT, On approximation to functions satisfying a generalized continuity condition (Trans. Amer. Math. Soc., vol. 71, p. 1-23). Zbl0043.10501MR44627
22. [1952] J. L. WALSH, Polynomial expansions of functions defined by Cauchys integral (J. Math, pures et appl., vol. 31, p. 221-244). Zbl0049.05203MR51919
23. [1952 a] J. L. WALSH and Philip DAVIS, Interpolation and orthonormal systems (J. Anal. math., vol. 2, p. 1-28). Zbl0049.05301MR66461
24. [1952 b] J. L. WALSH, Degree of approximation to functions on a Jordan curve (Trans. Amer. Math. Soc., vol. 73, p. 447-458). Zbl0048.05202MR52505
25. [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). Zbl0049.05204MR53229
26. [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). Zbl0046.08101MR46434
27. [1954] J. L. WALSH and J. P. EVANS, On approximation by bounded analytic functions (Archiv. der Math., vol. 5, p. 191-196). Zbl0055.06801MR62224
28. [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). Zbl0065.06303MR74527
29. [1954 b] J. L. WALSH, An interpolation problem for harmonic functions (Amer. J. Math., vol. 76, p. 259-272). Zbl0055.09003MR66510
30. [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). Zbl0064.31502MR69274
31. [1955 a] J. L. WALSH, Sur l'approximation par fonctions rationnelles et par fonctions holomorphes bornées (Annali di Matematica, vol. 39, p. 267-277). Zbl0066.05305MR77684
32. [1956] J. L. WALSH, On the conformal mapping of multiply connected regions (Trans. Amer. Math. Soc., vol. 82, p. 128-146). Zbl0071.07202MR80727
33. [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). Zbl0072.29003MR82552
34. [1958] J. L. WALSH, On approximation by bounded analytic functions (Trans. Amer. Math. Soc., vol. 87, p. 467-484). Zbl0080.28005MR96816
35. [1959] J. L. WALSH, Approximation on a line segment by bounded analytic functions : Problem β (Proc. Amer. Math. Soc., vol. 10, p. 270-272). Zbl0091.06502MR107720
36. [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). Zbl0098.04902MR123725
37. [1959 b] J. L. WALSH, Approximation by bounded analytic functions : general configurations (Proc. Amer. Math. Soc., vol. 10, p. 280-285). Zbl0091.06601MR107721
38. [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). Zbl0098.04901MR108595
39. [1959 d] J. L. WALSH, Note on approximation by bounded analytic functions (Problem α) (Math. Z., vol. 72, p. 47-52. Zbl0088.28101MR109893
40. [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). Zbl0095.05504MR123869
41. [1959 f] J. L. WALSH, The analogue for maximally convergent polynomials of Jentzsch's theorem (Duke Math. J., vol. 26, p. 605-616). Zbl0091.06602
42. [1960] J. L. WALSH, On degree of approximation by bounded harmonic functions (J. Math, pures et appl., vol. 39). Zbl0095.27703MR151625

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