Author: Slobodan M. KojcinovicPublisher:
ISBN:
Category :
Languages : en
Pages : 108
Book Description
Extension of CR Mappings Between Generic Algebraic Submanifolds
Author: Slobodan M. KojcinovicPublisher:
ISBN:
Category :
Languages : en
Pages : 108
Book Description
Real Submanifolds in Complex Space and Their Mappings (PMS-47)
Author: M. Salah BaouendiPublisher: Princeton University Press
ISBN: 1400883962
Category : Mathematics
Languages : en
Pages : 418
Book Description
This book presents many of the main developments of the past two decades in the study of real submanifolds in complex space, providing crucial background material for researchers and advanced graduate students. The techniques in this area borrow from real and complex analysis and partial differential equations, as well as from differential, algebraic, and analytical geometry. In turn, these latter areas have been enriched over the years by the study of problems in several complex variables addressed here. The authors, M. Salah Baouendi, Peter Ebenfelt, and Linda Preiss Rothschild, include extensive preliminary material to make the book accessible to nonspecialists. One of the most important topics that the authors address here is the holomorphic extension of functions and mappings that satisfy the tangential Cauchy-Riemann equations on real submanifolds. They present the main results in this area with a novel and self-contained approach. The book also devotes considerable attention to the study of holomorphic mappings between real submanifolds, and proves finite determination of such mappings by their jets under some optimal assumptions. The authors also give a thorough comparison of the various nondegeneracy conditions for manifolds and mappings and present new geometric interpretations of these conditions. Throughout the book, Cauchy-Riemann vector fields and their orbits play a central role and are presented in a setting that is both general and elementary.
The Asian Journal of Mathematics
Author: Dissertation Abstracts International
Author: Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 764
Book Description
Mathematical Reviews
Author: Complex Analysis
Author: Peter EbenfeltPublisher: Springer Science & Business Media
ISBN: 3034600097
Category : Mathematics
Languages : en
Pages : 353
Book Description
This volume presents the proceedings of a conference on Several Complex Variables, PDE’s, Geometry, and their interactions held in 2008 at the University of Fribourg, Switzerland, in honor of Linda Rothschild.
Bulletin (new Series) of the American Mathematical Society
Author: Several Complex Variables
Author: Michael SchneiderPublisher: Cambridge University Press
ISBN: 9780521770866
Category : Mathematics
Languages : en
Pages : 582
Book Description
Expository articles on Several Complex Variables and its interactions with PDEs, algebraic geometry, number theory, and differential geometry, first published in 2000.
Analysis, Geometry, Number Theory: The Mathematics of Leon Ehrenpreis
Author: Eric GrinbergPublisher: American Mathematical Soc.
ISBN: 0821811487
Category : Mathematics
Languages : en
Pages : 524
Book Description
This book presents the proceedings from the conference honoring the work of Leon Ehrenpreis. Professor Ehrenpreis worked in many different areas of mathematics and found connections among all of them. For example, one can find his analytic ideas in the context of number theory, geometric thinking within analysis, transcendental number theory applied to partial differential equations, and more. The conference brought together the communities of mathematicians working in the areas of interest to Professor Ehrenpreis and allowed them to share the research inspired by his work. The collection of articles here presents current research on PDEs, several complex variables, analytic number theory, integral geometry, and tomography. The work of Professor Ehrenpreis has contributed to basic definitions in these areas and has motivated a wealth of research results. This volume offers a survey of the fundamental principles that unified the conference and influenced the mathematics of Leon Ehrenpreis.
Author: