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Book Information

Author(s): John Erik Fornaess and Berit Stensønes
Title: Lectures on counterexamples in several complex variables
Additional book information: Mathematical Notes 33, Princeton University Press, Princeton, N. J., 1987, 247 pp., $22.50. ISBN 0-691-08456-4

[A. R] P. Ahern and W. Rudin, Totally real embeddings of S, Proc. Amer. Math. Soc. 94 (1985), 460-462. MR 787894

[B] D. Barrett, Irregularity of the Bergman projection on a smooth bounded domain in C², Ann. of Math. (2) 119 (1984), 431-436. MR 740899

[C. L] G. Coeure and J. Loeb, A counterexample to the Serre Problem with a bounded domain of C, Ann. of Math. (2) 122 (1985), 329-334. MR 808221

[D] J. P. Demailly, Un example de fibre holomorphe non de Stein à fibre C, Invent. Math. 48 (1978), 293-302. MR 508989

[D. F] K. Diederich and J. E. Fornaess, Smooth but not complex analytic pluripolar sets, Manuscripta Math. 37 (1982), 121-125. MR 649568

[D. F] K. Diederich and J. E. Fornaess, A smooth curve in C, Duke Math. J. 49 (1982), 931-936. MR 683008

[K] E. Kallin, A non local function algebra, Proc. Nat. Acad. Sci. U.S.A. 49 (1963), 821-824. MR 152907

[R] W. Rudin, Totally real Klein bottles in C², Proc. Amer. Math. Soc. 82 (1981), 653-654. MR 614897

[Sil] N. Sibony, Sur la frontière de Shilov des domaines de C, Math. Ann. 273 (1985), 115-121. MR 814198

[Si2] N. Sibony, Problème de la couronne pour les domaines pseudoconvexes à bord lisse, Ann. of Math. (2) 126 (1987), 675-682. MR 916722

[Siu] Y. T. Siu, Holomorphic fiber bundles whose fibers are bounded Stein domains with zero first Betti number, Math. Ann. 219 (1976), 171-192 MR 390303

[Sk] H. Skoda, Fibres holomorphes à base et fibre de Stein, Invent. Math 43 (1977), 97-107. MR 508091

[St] E. L. Stout, The theory of uniform algebras, Bogden and Quigley, 1971. MR 423083

Review Information:
Journal: Bull. Amer. Math. Soc. 20 (1989), 193-196.
DOI: 10.1090/S0273-0979-1989-15760-1
PII: S 0273-0979(1989)15760-1

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ISSN 1088-9485(e) ISSN 0273-0979(p)

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