|
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.
Geometric Function Theory in One and Higher Dimensions Автор: Ian Graham Год: 2003 |
Handbook of Complex Analysis: Geometric Function Theory Автор: Kuhnau R. (ed.) Год: 2005 |
Geometric function theory in several complex variables: Proc. satellite conf. to ICM in Beijing 2002 Автор: FitzGerald C., Gong S. (eds.) Год: 2004 |
Universal Spaces and Mappings,198 Автор: S.D. Iliadis Год: 2010 |
Handbook of Complex Analysis: Geometric Function Theory Автор: Kuhnau R. Год: 2002 |