Multidimensional Integral Representations

Problems of Analytic Continuation

Author: Alexander M. Kytmanov,Simona G. Myslivets

Publisher: Springer

ISBN: 3319216597

Category: Mathematics

Page: 225

View: 8880

The monograph is devoted to integral representations for holomorphic functions in several complex variables, such as Bochner-Martinelli, Cauchy-Fantappiè, Koppelman, multidimensional logarithmic residue etc., and their boundary properties. The applications considered are problems of analytic continuation of functions from the boundary of a bounded domain in C^n. In contrast to the well-known Hartogs-Bochner theorem, this book investigates functions with the one-dimensional property of holomorphic extension along complex lines, and includes the problems of receiving multidimensional boundary analogs of the Morera theorem. This book is a valuable resource for specialists in complex analysis, theoretical physics, as well as graduate and postgraduate students with an understanding of standard university courses in complex, real and functional analysis, as well as algebra and geometry.

Complex Analysis and Related Topics

Author: E. Ramirez de Arellano,M.V. Shapiro,L.M. Tovar,N.L. Vasilevski

Publisher: Birkhäuser

ISBN: 3034886985

Category: Mathematics

Page: 284

View: 8800

This volume, addressed to researchers and postgraduate students, compiles up-to-date research and expository papers on different aspects of complex analysis, including relations to operator theory and hypercomplex analysis. Subjects include the Schrödinger equation, subelliptic operators, Lie algebras and superalgebras, among others.

Polyharmonic functions

Author: Nachman Aronszajn,Thomas M. Creese,Leonard J. Lipkin

Publisher: Oxford University Press, USA


Category: Mathematics

Page: 265

View: 7491


Several Complex Variables

Proceedings of the 1981 Hangzhou Conference


Publisher: Birkhäuser

ISBN: 9780817631895

Category: Mathematics

Page: 268

View: 2943

In recent years there has been increasing interaction among various branches of mathematics. This is especially evident in the theory of several complex variables where fruitful interplays of the methods of algebraic geometry, differential geometry, and partial differential equations have led to unexpected insights and new directions of research. In China there has been a long tradition of study in complex analysis, differential geometry and differential equations as interrelated subjects due to the influence of Professors S. S. Chern and L. K. Hua. After a long period of isolation, in recent years there is a resurgence of scientific activity and a resumption of scientific exchange with other countries. The Hangzhou conference is the first international conference in several complex variables held in China. It offered a good opportunity for mathematicians from China, U.S., Germany, Japan, Canada, and France to meet and to discuss their work. The papers presented in the conference encompass all major aspects of several complex variables, in particular, in such areas as complex differential geometry, integral representation, boundary behavior of holomorphic functions, invariant metrics, holomorphic vector bundles, and pseudoconvexity. Most of the participants wrote up their talks for these proceedings. Some of the papers are surveys and the others present original results. This volume constitutes an overview of the current trends of research in several complex variables.

Complex Analysis

Papers Presented at the Stefan Banach International Center at the Semester "Complex Analysis" Held February 15-May 30, 1979

Author: Julian Ławrynowicz,Józef Siciak

Publisher: N.A


Category: Functions of complex variables

Page: 362

View: 9264