Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
MathSciNet review:
1567718
Full text of review:
PDF
This review is available free of charge.
Book Information:
Author:
John Wermer
Title:
Selected papers of Errett Bishop
Additional book information:
World Scientific Publishing, Singapore and Philadelphia, xxiv + 414 pp., $56.00. ISBN 9971-50-127-9.
Lennart Carleson, Mergelyan’s theorem on uniform polynomial approximation, Math. Scand. 15 (1964), 167–175. MR 198209, DOI 10.7146/math.scand.a-10741
A. Aeppli, E. Calabi, and H. Röhrl (eds.), Proceedings of the Conference on Complex Analysis. Minneapolis, Minn., 1964, Springer-Verlag, Berlin-Heidelberg-New York, 1965. MR 0174769
Adrien Douady, Le problème des modules pour les sous-espaces analytiques compacts d’un espace analytique donné, Ann. Inst. Fourier (Grenoble) 16 (1966), no. fasc. 1, 1–95 (French). MR 203082
Errett A. Bishop, Schizophrenia in contemporary mathematics, Errett Bishop: reflections on him and his research (San Diego, Calif., 1983) Contemp. Math., vol. 39, Amer. Math. Soc., Providence, RI, 1985, pp. 1–32. MR 788163, DOI 10.1090/conm/039/788163
[G] A. Gleason, Analytic structure in a maximal ideal space.
Robert C. Gunning and Hugo Rossi, Analytic functions of several complex variables, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1965. MR 0180696
Norberto Kerzman, Hölder and $L^{p}$ estimates for solutions of $\bar \partial u=f$ in strongly pseudoconvex domains, Comm. Pure Appl. Math. 24 (1971), 301–379. MR 281944, DOI 10.1002/cpa.3160240303
V. L. Klee Jr., Extremal structure of convex sets. II, Math. Z. 69 (1958), 90–104. MR 92113, DOI 10.1007/BF01187394
Hans Lewy, On the local character of the solutions of an atypical linear differential equation in three variables and a related theorem for regular functions of two complex variables, Ann. of Math. (2) 64 (1956), 514–522. MR 81952, DOI 10.2307/1969599
Hans Lewy, On hulls of holomorphy, Comm. Pure Appl. Math. 13 (1960), 587–591. MR 150339, DOI 10.1002/cpa.3160130403
Kiyoshi Oka, Sur les fonctions analytiques de plusieurs variables. IX. Domaines finis sans point critique intérieur, Jpn. J. Math. 23 (1953), 97–155 (1954) (French). MR 71089, DOI 10.4099/jjm1924.23.0_{9}7
Hugo Rossi, Holomorphically convex sets in several complex variables, Ann. of Math. (2) 74 (1961), 470–493. MR 133479, DOI 10.2307/1970292
Gabriel Stolzenberg, Uniform approximation on smooth curves, Acta Math. 115 (1966), 185–198. MR 192080, DOI 10.1007/BF02392207
Gabriel Stolzenberg, Volumes, limits, and extensions of analytic varieties, Lecture Notes in Mathematics, No. 19, Springer-Verlag, Berlin-New York, 1966. MR 0206337
Yum Tong Siu, Techniques of extension of analytic objects, Lecture Notes in Pure and Applied Mathematics, Vol. 8, Marcel Dekker, Inc., New York, 1974. MR 0361154
John Wermer, Function rings and Riemann surfaces, Ann. of Math. (2) 67 (1958), 45–71. MR 93585, DOI 10.2307/1969925
John Wermer, Rings of analytic functions, Ann. of Math. (2) 67 (1958), 497–516. MR 96817, DOI 10.2307/1969870
John Wermer, An example concerning polynomial convexity, Math. Ann. 139 (1959), 147–150 (1959). MR 121500, DOI 10.1007/BF01354873
- [C] L. Carleson, Mergelyan's theorem on uniform polynomial approximation, Math. Scand. 15 (1964), 167-175. MR 0198209
- [COCA] Proceedings of the Conference on Complex Analysis, Minneapolis 1964, Springer-Verlag, 1965. MR 174769
- [D] A. Douady, Le problème des modules pour les sous-espaces analytiques d'un espace analytique donné, Ann. Inst. Fourier (Grenoble) 16 (1966), 1-95. MR 203082
- [EB] Errett Bishop, Reflections on him and his research, Contemp. Math., vol. 39, Amer. Math. Soc. Providence, R. I., 1985. MR 788163
- [G] A. Gleason, Analytic structure in a maximal ideal space.
- [GR] R. C. Gunning and H. Rossi, Analytic functions of several complex variables, Prentice-Hall, Englewood Cliffs, N. J., 1965. MR 180696
- [K] N. Kerzman, Holder and L, Comm. Pure Appl. Math. 24 (1971), 301-379. MR 281944
- [KL] V. L. Klee, Extremal structure of convex sets. II, Math. Z. 69 (1958), 90-104. MR 92113
- [L1] H. Lewy, On the local character of the solutions of an atypical linear differential equation in three variables and a related theorem for regular functions of two complex variables, Ann. of Math. (2) 64 (1956), 514-522. MR 81952
- [L2] H. Lewy, On hulls of holomorphy, Comm. Pure Appl. Math. 13 (1960), 587-591. MR 150339
- [O] K. Oka, Domaines finis sans point critique intérieur, Japanese J. Math. 27 (1953), 97-155. MR 71089
- [R] H. Rossi, Holomorphically convex sets in several complex variables, Ann. of Math. (2) 74 (1961), 470-493. MR 133479
- [S1] G. Stolzenberg, Uniform approximation on smooth curves, Acta Math. 115 (1966). MR 192080
- [S2] G. Stolzenberg, Volumes, limits and extensions of analytic varieties, Springer-Verlag, Berlin and New York, 1966. MR 206337
- [SI] Y. T. Siu, Techniques of extension of analytic objects, Marcel Dekker, 1974. MR 361154
- [W1] J. Wermer, Function rings and Riemann surfaces, Ann. of Math. (2) 67 (1958), 45-77. MR 93585
- [W2] J. Wermer, Rings of analytic functions, Ann. of Math. (2) 67 (1958), 497-516. MR 96817
- [W3] J. Wermer, An example concerning polynomial convexity, Math. Ann. 139 (1959), 147-150. MR 121500
Review Information:
Reviewer:
Hugo Rossi
Journal:
Bull. Amer. Math. Soc.
19 (1988), 538-545
DOI:
https://doi.org/10.1090/S0273-0979-1988-15735-7
