Lectures on Holomorphic Functions of Several Complex Variables

Small book cover: Lectures on Holomorphic Functions of Several Complex Variables

Lectures on Holomorphic Functions of Several Complex Variables

Publisher: Jagiellonian University
Number of pages: 149

The text contains the background theory of several complex variables. We discuss the extension of holomorphic functions, automorphisms, domains of holomorphy, subharmonic and plurisubharmonic functions, pseudoconvexity, etc. The reader is required to be familiar with elements of classical real analysis and complex analysis of one variable.

Home page url

Download or read it online for free here:
Download link
(3.5MB, PDF)

Similar books

Book cover: Notes on Automorphic FunctionsNotes on Automorphic Functions
by - Kobenhavns Universitet
In mathematics, the notion of factor of automorphy arises for a group acting on a complex-analytic manifold. From the contents: Moebius transformations; Discrete subgroups; Modular groups; Automorphic forms; Poincare Series and Eisenstein Series.
Book cover: Dynamics in One Complex VariableDynamics in One Complex Variable
by - Princeton University Press
This text studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the case of rational maps of the Riemann sphere. The book introduces some key ideas in the field, and forms a basis for further study.
Book cover: Calculus of Residua: Complex Functions Theory a-2Calculus of Residua: Complex Functions Theory a-2
by - BookBoon
This is the second part in the series of books on complex functions theory. From the table of contents: Introduction; Power Series; Harmonic Functions; Laurent Series and Residua; Applications of the Calculus of Residua; Index.
Book cover: Holomorphic SpacesHolomorphic Spaces
by - Cambridge University Press
This volume consists of expository articles on holomorphic spaces. Topics covered are Hardy spaces, Bergman spaces, Dirichlet spaces, Hankel and Toeplitz operators, and a sampling of the role these objects play in modern analysis.