Regular Functions of a Quaternionic Variable

• Κύριοι συγγραφείς: Gentili, Graziano (Συγγραφέας), Stoppato, Caterina (Συγγραφέας), Struppa, Daniele C. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Mathematics.; Functional analysis.; Functions of complex variables.; Sequences (Mathematics).; Functions of a Complex Variable.; Sequences, Series, Summability.; Functional Analysis.

The theory of slice regular functions over quaternions is the central subject of the present volume. This recent theory has expanded rapidly, producing a variety of new results that have caught the attention of the international research community. At the same time, the theory has already developed...

Πίνακας περιεχομένων:

• Introduction
• 1.Definitions and Basic Results
• 2.Regular Power Series
• 3.Zeros
• 4.Infinite Products
• 5.Singularities
• 6.Integral Representations
• 7.Maximum Modulus Theorem and Applications
• 8.Spherical Series and Differential
• 9.Fractional Transformations and the Unit Ball
• 10.Generalizations and Applications
• Bibliography
• Index.