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Holomorphic Functions in the Plane and n-dimensional Space

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...

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Main Authors: Gürlebeck, Klaus. (Author, http://id.loc.gov/vocabulary/relators/aut), Habetha, Klaus. (http://id.loc.gov/vocabulary/relators/aut), Sprößig, Wolfgang. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2008.
Edition:1st ed. 2008.
Subjects:
Functions of complex variables.
Integral transforms.
Operational calculus.
Potential theory (Mathematics).
Mathematical analysis.
Analysis (Mathematics).
Functions of a Complex Variable.
Integral Transforms, Operational Calculus.
Potential Theory.
Analysis.
Online Access:https://doi.org/10.1007/978-3-7643-8272-8
Summary: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.
Physical Description:XIV, 394 p. online resource.
ISBN:9783764382728

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