Book Review

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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.

*Mergelyan’s theorem on uniform polynomial approximation*, Math. Scand.

**15**(1964), 167–175. MR

**198209**, DOI 10.7146/math.scand.a-10741

*Proceedings of the Conference on Complex Analysis. Minneapolis, Minn., 1964*, Springer-Verlag, Berlin-Heidelberg-New York, 1965. MR

**0174769**

*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**

*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

*Analytic structure in a maximal ideal space*.

*Analytic functions of several complex variables*, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1965. MR

**0180696**

*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

*Extremal structure of convex sets. II*, Math. Z.

**69**(1958), 90–104. MR

**92113**, DOI 10.1007/BF01187394

*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

*On hulls of holomorphy*, Comm. Pure Appl. Math.

**13**(1960), 587–591. MR

**150339**, DOI 10.1002/cpa.3160130403

*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

*Holomorphically convex sets in several complex variables*, Ann. of Math. (2)

**74**(1961), 470–493. MR

**133479**, DOI 10.2307/1970292

*Uniform approximation on smooth curves*, Acta Math.

**115**(1966), 185–198. MR

**192080**, DOI 10.1007/BF02392207

*Volumes, limits, and extensions of analytic varieties*, Lecture Notes in Mathematics, No. 19, Springer-Verlag, Berlin-New York, 1966. MR

**0206337**

*Techniques of extension of analytic objects*, Lecture Notes in Pure and Applied Mathematics, Vol. 8, Marcel Dekker, Inc., New York, 1974. MR

**0361154**

*Function rings and Riemann surfaces*, Ann. of Math. (2)

**67**(1958), 45–71. MR

**93585**, DOI 10.2307/1969925

*Rings of analytic functions*, Ann. of Math. (2)

**67**(1958), 497–516. MR

**96817**, DOI 10.2307/1969870

*An example concerning polynomial convexity*, Math. Ann.

**139**(1959), 147–150 (1959). MR

**121500**, DOI 10.1007/BF01354873

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