Holomorphic Functions in the Plane and n-dimensional Space

• Κύριοι συγγραφείς: Gürlebeck, Klaus (Συγγραφέας), Habetha, Klaus (Συγγραφέας), Sprößig, Wolfgang (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Birkhäuser Basel, 2008.
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functions of complex variables.; Integral transforms.; Operational calculus.; Potential theory (Mathematics).; Functions of a Complex Variable.; Integral Transforms, Operational Calculus.; Potential Theory.; Analysis.

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...

Πίνακας περιεχομένων:

• Introduction
• I. Numbers
• Complex Numbers - Quaternions - Clifford numbers
• II. Functions
• Topological Aspects - Holomorphic Functions - Power Functions and Möbius Transformations
• III. Integration und Integral Theorems - Integral Theorems and -formulas - Teodorescu Transformation
• IV. Series and Local Properties - Power Series- Orthogonal Series - Elementary Functions
• Local Structure of Holomorphic Functions - Special Functions
• Appendices
• Bibliography
• Index.