Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
Full text of review:
PDF
This review is available free of charge.
Book Information:
Authors:
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 pp.,
ISBN 0-8218-1062-6,
$49.00$
[AUB] T. Aubin, Nonlinear Analysis on Manifolds, Monge-Ampère Equations, Springer-Verlag, New York, 1982. MR 0681859
[FOK] G. B. Folland and J. J. Kohn, The Neumann Problem for the Cauchy-Riemann Complex, Princeton University Press, Princeton, 1972. MR 0461588
[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, 
estimates and existence theorems for the 
operator, Acta Mathematica 113(1965), 89-152. MR 0179443
[HOR2] L. Hörmander, Introduction to Complex Analysis in Several Variables, North Holland, Amsterdam, 1973. MR 0344507
[HOR3] L. Hörmander, A history of existence theorems for the Cauchy-Riemann complex in 
spaces, Journal of Geometric Analysis 13(2003), to appear.
[KRA1] S. G. Krantz, Function Theory of Several Complex Variables, 
ed., American Mathematical Society, Providence, RI, 2001. MR 1846625
[KRA2] S. G. Krantz, What is several complex variables?, American Mathematical Monthly, 94(1987), 236-256. MR 0883291
[KRA3] S. G. Krantz, Partial Differential Equations and Complex Analysis, CRC Press, Boca Raton, FL, 1992. MR 1207812
[RAN] R. M. Range, Holomorphic Functions and Integral Representations in Several Complex Variables, Springer-Verlag, New York, 1986. MR 0847923
- [AUB]
- T. Aubin, Nonlinear Analysis on Manifolds, Monge-Ampère Equations, Springer-Verlag, New York, 1982. MR 0681859
- [FOK]
- G. B. Folland and J. J. Kohn, The Neumann Problem for the Cauchy-Riemann Complex, Princeton University Press, Princeton, 1972. MR 0461588
- [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, estimates and existence theorems for the operator, Acta Mathematica 113(1965), 89-152. MR 0179443
- [HOR2]
- L. Hörmander, Introduction to Complex Analysis in Several Variables, North Holland, Amsterdam, 1973. MR 0344507
- [HOR3]
- L. Hörmander, A history of existence theorems for the Cauchy-Riemann complex in spaces, Journal of Geometric Analysis 13(2003), to appear.
- [KRA1]
- S. G. Krantz, Function Theory of Several Complex Variables, ed., American Mathematical Society, Providence, RI, 2001. MR 1846625
- [KRA2]
- S. G. Krantz, What is several complex variables?, American Mathematical Monthly, 94(1987), 236-256. MR 0883291
- [KRA3]
- S. G. Krantz, Partial Differential Equations and Complex Analysis, CRC Press, Boca Raton, FL, 1992. MR 1207812
- [RAN]
- R. M. Range, Holomorphic Functions and Integral Representations in Several Complex Variables, Springer-Verlag, New York, 1986. MR 0847923
Review Information:
Reviewer:
Steven G. Krantz
Affiliation:
Washington University in St. Louis
Email:
sk@math.wustl.edu
Journal:
Bull. Amer. Math. Soc.
40 (2003), 529-533
Published electronically:
July 10, 2003
Review copyright:
© Copyright 2003
American Mathematical Society
