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Book Review

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Book Information

Author(s): So-Chin Chen and Mei-Chi Shaw
Title: Partial differential equations in several complex variables
Additional book information: American Mathematical Society, Providence, RI, 2001, xii + 380, $49.00, ISBN 0-8218-1062-6

References:

[AUB]
T. Aubin, Nonlinear Analysis on Manifolds, Monge-Ampère Equations, Springer-Verlag, New York, 1982. MR 85j:58002

[FOK]
G. B. Folland and J. J. Kohn, The Neumann Problem for the Cauchy-Riemann Complex, Princeton University Press, Princeton, 1972. MR 57:1573

[HAR]
F. Hartogs, Zur Theorie der analytischen Functionen mehrener unabhangiger Veränderlichen insbesonder über die Darstellung derselben durch Reihen, welche nach Potenzen einter Veränderlichen fortschreiten, Math. Annalen 62(1906), 1-88.

[HOR1]
L. Hörmander, $L^2$ estimates and existence theorems for the ${\overline{\partial}}$ operator, Acta Mathematica 113(1965), 89-152. MR 31:3691
[HOR2]
L. Hörmander, Introduction to Complex Analysis in Several Variables, North Holland, Amsterdam, 1973. MR 49:9246

[HOR3]
L. Hörmander, A history of existence theorems for the Cauchy-Riemann complex in $L^2$ spaces, Journal of Geometric Analysis 13(2003), to appear.

[KRA1]
S. G. Krantz, Function Theory of Several Complex Variables, $2^{\rm nd}$ ed., American Mathematical Society, Providence, RI, 2001. MR 2002e:32001

[KRA2]
S. G. Krantz, What is several complex variables?, American Mathematical Monthly, 94(1987), 236-256. MR 88e:32001

[KRA3]
S. G. Krantz, Partial Differential Equations and Complex Analysis, CRC Press, Boca Raton, FL, 1992. MR 94a:35002

[RAN]
R. M. Range, Holomorphic Functions and Integral Representations in Several Complex Variables, Springer-Verlag, New York, 1986. MR 87i:32001

Additional Information:

Reviewer(s):
Steven G. Krantz
Affiliation: Washington University in St. Louis
Email: sk@math.wustl.edu

Review Information:
Journal: Bull. Amer. Math. Soc. 40 (2003), 529-533.

MSC (2000): Primary 35N15; Secondary 35N99, 35J15, 32W05, 32W10
PII: S 0273-0979(03)00989-3
Posted: July 10, 2003
Copyright of article: Copyright 2003, American Mathematical Society

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