Logo

Lectures on The Theory of Functions of Several Complex Variables

Small book cover: Lectures on The Theory of Functions of Several Complex Variables

Lectures on The Theory of Functions of Several Complex Variables
by

Publisher: Tata Institute of Fundamental Research
ISBN/ASIN: 3540128751
Number of pages: 138

Description:
Contents: Cauchy's formula and elementary consequences; Reinhardt domains and circular domains; Complex analytic manifolds; Analytic Continuation; Envelopes of Holomorphy; Domains of Holomorphy - Convexity Theory; d''-cohomology on the cube; Holomorphic Regular Matrices; Complementary Results; Coherent Analytic Sheaves.

Download or read it online for free here:
Download link
(600KB, PDF)

Similar books

Book cover: Lectures on Riemann MatricesLectures on Riemann Matrices
by - Tata Institute of Fundamental Research
A systematic study of Riemann matrices which arise in a natural way from the theory of abelian functions. Contents: Abelian Functions; Commutator-algebra of a R-matrix; Division algebras over Q with a positive involution; Cyclic algebras; etc.
(10340 views)
Book cover: A First Course in Complex AnalysisA First Course in Complex Analysis
by - San Francisco State University
These are the lecture notes of a one-semester undergraduate course: complex numbers, differentiation, functions, integration, Cauchy's theorem, harmonic functions, power series, Taylor and Laurent series, isolated singularities, etc.
(40385 views)
Book cover: Lectures on Holomorphic Functions of Several Complex VariablesLectures on Holomorphic Functions of Several Complex Variables
by - Jagiellonian University
The text contains the background theory of several complex variables. We discuss the extension of holomorphic functions, automorphisms, domains of holomorphy, pseudoconvexity, etc. Prerequisites are real analysis and complex analysis of one variable.
(7618 views)
Book cover: Lectures on Entire FunctionsLectures on Entire Functions
by - American Mathematical Society
This monograph aims to expose the main facts of the theory of entire functions and to give their applications in real and functional analysis. The general theory starts with the fundamental results on the growth of entire functions of finite order.
(17350 views)