| 書目名稱 | Regular Functions of a Quaternionic Variable | | 編輯 | Graziano Gentili,Caterina Stoppato,Daniele C. Stru | | 視頻video | http://file.papertrans.cn/826/825538/825538.mp4 | | 概述 | The book is entirely devoted to a new theory.Presents a state of the art survey of the theory of slice regular functions ?.The theory presented in the book is the basis for the solution to an outstand | | 叢書名稱 | Springer Monographs in Mathematics | | 圖書封面 |  | | 描述 | .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 sturdy foundations. The richness of the theory of the holomorphic functions of one complex variable and its wide variety of applications are a strong motivation for the study of its analogs in higher dimensions. In this respect, the four-dimensional case is particularly interesting due to its relevance in physics and its algebraic properties, as the quaternion forms the only associative real division algebra with a finite dimension n>2. Among other interesting function theories introduced in the quaternionic setting, that of (slice) regular functions shows particularly appealing features. For instance, this class of functions naturally includes polynomials and power series. The zero set of a slice regular function has an interesting structure, strictly linked to a multiplicative operation, and it allows the study of singularities. Integral representation formulas enrich the theory and t | | 出版日期 | Book 20131st edition | | 關鍵詞 | 30G35, 30B10, 30C15, 30E20, 30C80; Schwarz‘s lemma; functions of hypercomplex variables and generalize | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-33871-7 | | isbn_ebook | 978-3-642-33871-7Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer-Verlag Berlin Heidelberg 2013 |
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