Springer | Mathematics | October 30, 2015 | ISBN-10: 4431557466 | 196 pages | pdf | 2.38 mb

by Takeo Ohsawa (Author)

Selects only extremely important materials from the conventional basic theory of complex analysis and manifold theory

Requires no more than a one-semester introductory course in complex analysis as a prerequisite for understanding

English | 2001 | ISBN: 0821827243 | 564 Pages | DJVU | 6.2 MB

This work departs from earlier treatments of the subject by emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, the boundary behavior of holomorphic functions, inner functions, invariant metrics, and mapping theory.

English | 30 Apr. 1999 | ISBN: 0792349644 | 219 Pages | PDF | 15 MB

This interesting book deals with the theory of convex and starlike biholomorphic mappings in several complex variables. The underly ing theme is the extension to several complex variables of geometric aspects of the classical theory of univalent functions.

English | (December 31, 1963) | ISBN: 082181558X | Pages: 388 | DJVU | 13 MB

At the request of the author the first draft of the text of subsections 1-3, 23, dealing with integral representations in n-circular regions, was written by L. A. Alzenberg, subsections 4-6, 23, dealing with integral representations in tubular regions, by S. G. Gindikin, and section 26, dealing with methods of charac- terizing the growth of entire functions, by L. I. Ronkin.

English | 2011 | ISBN: 3642205534 | 519 pages | PDF | 3,2 MB

The book contains a complete self-contained introduction to highlights of classical complex analysis. New proofs and some new results are included. All needed notions are developed within the book: with the exception of some basic facts which can be found in the ¯rst volume. There is no comparable treatment in the literature.

English | 2007 | ISBN: 0821833197 | ISBN-13: 9780821833193 | 312 pages | PDF | 3,7 MB

The book provides an introduction to the theory of functions of several complex variables and their singularities, with special emphasis on topological aspects. The topics include Riemann surfaces, holomorphic functions of several variables, classification and deformation of singularities, fundamentals of differential topology, and the topology of singularities.

English | 2007-03-21 | ISBN: 9812705740 | 377 pages | PDF | 2,5 mb

This volume is an introductory text in several complex variables, using methods of integral representations and Hilbert space theory. It investigates mainly the studies of the estimate of solutions of the Cauchy Riemann equations in pseudoconvex domains and the extension of holomorphic functions in submanifolds of pseudoconvex domains which were developed in the last 50 years.