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Recent Developments in Several Complex Variables

Author : John Erik Fornæss
Publisher : Princeton University Press
Page : 467 pages
File Size : 31,68 MB
Release : 1981-08-21
Category : Mathematics
ISBN : 0691082812

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A classic treatment of complex variables from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.

Recent Progress on Some Problems in Several Complex Variables and Partial Differential Equations

Author : Shiferaw Berhanu
Publisher : American Mathematical Soc.
Page : 226 pages
File Size : 23,68 MB
Release : 2006
Category : Mathematics
ISBN : 0821839217

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The papers in this volume cover many important topics of current interest in partial differential equations and several complex variables. An international group of well-known mathematicians has contributed original research articles on diverse topics such as the geometry of complex manifolds, the mean curvature equation, formal solutions of singular partial differential equations, and complex vector fields. The material in this volume is useful for graduate students and researchers interested in partial differential equations and several complex variables.

Recent Developments in Complex Analysis and Computer Algebra

Author : R.P. Gilbert
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 39,89 MB
Release : 2013-12-01
Category : Mathematics
ISBN : 1461302978

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This volume consists of papers presented in the special sessions on "Complex and Numerical Analysis", "Value Distribution Theory and Complex Domains", and "Use of Symbolic Computation in Mathematics Education" of the ISAAC'97 Congress held at the University of Delaware, during June 2-7, 1997. The ISAAC Congress coincided with a U.S.-Japan Seminar also held at the University of Delaware. The latter was supported by the National Science Foundation through Grant INT-9603029 and the Japan Society for the Promotion of Science through Grant MTCS-134. It was natural that the participants of both meetings should interact and consequently several persons attending the Congress also presented papers in the Seminar. The success of the ISAAC Congress and the U.S.-Japan Seminar has led to the ISAAC'99 Congress being held in Fukuoka, Japan during August 1999. Many of the same participants will return to this Seminar. Indeed, it appears that the spirit of the U.S.-Japan Seminar will be continued every second year as part of the ISAAC Congresses. We decided to include with the papers presented in the ISAAC Congress and the U.S.-Japan Seminar several very good papers by colleagues from the former Soviet Union. These participants in the ISAAC Congress attended at their own expense.

Several Complex Variables

Author : Michael Schneider
Publisher : Cambridge University Press
Page : 582 pages
File Size : 13,81 MB
Release : 1999
Category : Mathematics
ISBN : 9780521770866

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Expository articles on Several Complex Variables and its interactions with PDEs, algebraic geometry, number theory, and differential geometry, first published in 2000.

Several Complex Variables, Part 1

Author : Raymond O'Neil Wells
Publisher : American Mathematical Soc.
Page : 402 pages
File Size : 11,84 MB
Release : 1977
Category : Mathematics
ISBN : 0821802496

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Contains sections on Singularities of analytic spaces, Function theory and real analysis, Compact complex manifolds, and Survey papers.

Several Complex Variables, Part 2

Author : Raymond O'Neil Wells
Publisher : American Mathematical Soc.
Page : 342 pages
File Size : 18,8 MB
Release : 1977
Category : Mathematics
ISBN : 082180250X

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Contains sections on Non compact complex manifolds, Differential geometry and complex analysis, Problems in approximation, Value distribution theory, Group representation and harmonic analysis, and Survey papers.

Analysis and Geometry in Several Complex Variables

Author : Gen Komatsu
Publisher : Springer Science & Business Media
Page : 322 pages
File Size : 31,36 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461221668

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This volume consists of a collection of articles for the proceedings of the 40th Taniguchi Symposium Analysis and Geometry in Several Complex Variables held in Katata, Japan, on June 23-28, 1997. Since the inhomogeneous Cauchy-Riemann equation was introduced in the study of Complex Analysis of Several Variables, there has been strong interaction between Complex Analysis and Real Analysis, in particular, the theory of Partial Differential Equations. Problems in Complex Anal ysis stimulate the development of the PDE theory which subsequently can be applied to Complex Analysis. This interaction involves Differen tial Geometry, for instance, via the CR structure modeled on the induced structure on the boundary of a complex manifold. Such structures are naturally related to the PDE theory. Differential Geometric formalisms are efficiently used in settling problems in Complex Analysis and the results enrich the theory of Differential Geometry. This volume focuses on the most recent developments in this inter action, including links with other fields such as Algebraic Geometry and Theoretical Physics. Written by participants in the Symposium, this vol ume treats various aspects of CR geometry and the Bergman kernel/ pro jection, together with other major subjects in modern Complex Analysis. We hope that this volume will serve as a resource for all who are interested in the new trends in this area. We would like to express our gratitude to the Taniguchi Foundation for generous financial support and hospitality. We would also like to thank Professor Kiyosi Ito who coordinated the organization of the symposium.