Overview
Provides a unique account of Sce’s work in the context of the modern development of the theory of hypercomplex variables
Presents English translations of Sce’s papers that are otherwise hard to find
Includes old, very deep results that are not known to a wide readership
Written in a style that will appeal to a wide audience
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Table of contents (6 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This book presents English translations of Michele Sce’s most important works, originally written in Italian during the period 1955-1973, on hypercomplex analysis and algebras of hypercomplex numbers. Despite their importance, these works are not very well known in the mathematics community because of the language they were published in. Possibly the most remarkable instance is the so-called Fueter-Sce mapping theorem, which is a cornerstone of modern hypercomplex analysis, and is not yet understood in its full generality.
This volume is dedicated to revealing and describing the framework Sce worked in, at an exciting time when the various generalizations of complex analysis in one variable were still in their infancy. In addition to faithfully translating Sce’s papers, the authors discuss their significance and explain their connections to contemporary research in hypercomplex analysis. They also discuss many concrete examples that can serve as a basis for further research.
The vast majority of the results presented here will be new to readers, allowing them to finally access the original sources with the benefit of comments from fellow mathematicians active in the field of hypercomplex analysis. As such, the book offers not only an important chapter in the history of hypercomplex analysis, but also a roadmap for further exciting research in the field.
Authors and Affiliations
Bibliographic Information
Book Title: Michele Sce's Works in Hypercomplex Analysis
Book Subtitle: A Translation with Commentaries
Authors: Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa
DOI: https://doi.org/10.1007/978-3-030-50216-4
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-50215-7Published: 25 October 2020
Softcover ISBN: 978-3-030-50218-8Published: 26 October 2021
eBook ISBN: 978-3-030-50216-4Published: 24 October 2020
Edition Number: 1
Number of Pages: VI, 122
Number of Illustrations: 2 b/w illustrations, 1 illustrations in colour
Topics: Functions of a Complex Variable