Regular Functions of a Quaternionic Variable

Language: English

Published by Springer Sep 2022, 2022

3031075307 / 9783031075308

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Neuware - This book surveys the foundations of the theory of slice regular functions over the quaternions, introduced in 2006, and gives an overview of its generalizations and applications.As in the case of other interesting quaternionic function theories, the original motivations were the richness of the theory of holomorphic functions of one complex variable and the fact that quaternions form the only associative real division algebra with a finite dimension n>2. (Slice) regular functions quickly showed particularly appealing features and developed into a full-fledged theory, while finding applications to outstanding problems from other areas of mathematics. For instance, this class of functions includes polynomials and power series. The nature of the zero sets of regular functions is particularly interesting and strictly linked to an articulate algebraic structure, which allows several types of series expansion and the study of singularities. Integral representation formulas enrich the theory and are fundamental to the construction of a noncommutative functional calculus. Regular functions have a particularly nice differential topology and are useful tools for the construction and classification of quaternionic orthogonal complex structures, where they compensate for the scarcity of conformal maps in dimension four.This second, expanded edition additionally covers a new branch of the theory: the study of regular functions whose domains are not axially symmetric. The volume is intended for graduate students and researchers in complex or hypercomplex analysis and geometry, function theory, and functional analysis in general.

Seller Inventory # 9783031075308

Title
Regular Functions of a Quaternionic Variable
Author
Daniele C. Struppa
Publisher
Springer Sep 2022
Publication year
2022
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3031075307
ISBN 13
9783031075308
Edition
2nd Edition
Item weight
692 grams
Dimensions
241x160x22 mm

AHA-BUCH GmbH

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