Regular Functions of a Quaternionic Variable

Regular Functions of a Quaternionic Variable


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Regular Functions of a Quaternionic Variable by Graziano Gentili, Caterina Stoppato, Daniele C. Struppa

This book surveys the theory of slice regular functions over quaternions, giving a brief overview of its generalizations and applications, for students and researchers in complex or hypercomplex analysis and geometry, function theory and functional analysis.

Product Details

ISBN-13: 9783642440540
Publisher: Springer Berlin Heidelberg
Publication date: 06/19/2015
Series: Springer Monographs in Mathematics
Edition description: 2013
Pages: 185
Product dimensions: 6.10(w) x 9.25(h) x (d)

Table of Contents

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.

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