Holomorphic Functions in the Plane and n-dimensional Space

Holomorphic Functions in the Plane and n-dimensional Space
Author: Klaus Gürlebeck
Publisher: Springer Science & Business Media
Total Pages: 407
Release: 2007-11-16
Genre: Mathematics
ISBN: 3764382716

Download Holomorphic Functions in the Plane and n-dimensional Space Book in PDF, Epub and Kindle

Complex analysis nowadays has higher-dimensional analoga: the algebra of complex numbers is replaced then by the non-commutative algebra of real quaternions or by Clifford algebras. During the last 30 years the so-called quaternionic and Clifford or hypercomplex analysis successfully developed to a powerful theory with many applications in analysis, engineering and mathematical physics. This textbook introduces both to classical and higher-dimensional results based on a uniform notion of holomorphy. Historical remarks, lots of examples, figures and exercises accompany each chapter.


Holomorphic Functions in the Plane and n-dimensional Space
Language: en
Pages: 407
Authors: Klaus Gürlebeck
Categories: Mathematics
Type: BOOK - Published: 2007-11-16 - Publisher: Springer Science & Business Media

GET EBOOK

Complex analysis nowadays has higher-dimensional analoga: the algebra of complex numbers is replaced then by the non-commutative algebra of real quaternions or
Big-Planes, Boundaries and Function Algebras
Language: en
Pages: 313
Authors: T.V. Tonev
Categories: Mathematics
Type: BOOK - Published: 1992-03-02 - Publisher: Elsevier

GET EBOOK

Treated in this volume are selected topics in analytic &Ggr;-almost-periodic functions and their representations as &Ggr;-analytic functions in the big-plane; n
Extension of Holomorphic Functions
Language: en
Pages: 455
Authors: Marek Jarnicki
Categories: Mathematics
Type: BOOK - Published: 2020-05-05 - Publisher: Walter de Gruyter GmbH & Co KG

GET EBOOK

This second extended edition of the classic reference on the extension problem of holomorphic functions in pluricomplex analysis contains a wealth of additional
Analytic Functions
Language: en
Pages: 206
Authors: Lars Valerian Ahlfors
Categories: Mathematics
Type: BOOK - Published: 2015-12-08 - Publisher: Princeton University Press

GET EBOOK

A survey of recent developments both in the classical and modern fields of the theory. Contents include: The complex analytic structure of the space of closed R
Theory of Analytic Functions of Several Complex Variables
Language: en
Pages: 402
Authors: Boris Abramovich Fuks
Categories: Mathematics
Type: BOOK - Published: 1963 - Publisher: American Mathematical Soc.

GET EBOOK