| 书目名称 | Regular Functions of a Quaternionic Variable | | 编辑 | Graziano Gentili,Caterina Stoppato,Daniele C. Stru | | 视频video | | | 概述 | Entirely devoted to the theory of slice regular functions.Surveys the foundations of the theory and gives an overview of its applications.Covers the newly developed function theory over domains that a | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | .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 class | | 出版日期 | Book 2022Latest edition | | 关键词 | 30G35, 30B10, 30C15, 30E20, 30C80; Functions of one quaterionic variable; Quaterionic power series; Max | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-031-07531-5 | | isbn_softcover | 978-3-031-07533-9 | | isbn_ebook | 978-3-031-07531-5Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 17:16:35
