Michele Sce's Works in Hypercomplex Analysis : A Translation with Commentaries. 1st ed. 2020

種類:

電子ブック

責任表示:

by Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa

出版情報:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2020

著者名:

• Colombo, Fabrizio.
• Sabadini, Irene.
• Struppa, Daniele C.
• SpringerLink (Online service)

ISBN:

9783030502164 [3030502163]    

注記:

1 Introduction -- 2 Monogenicity and total derivability in real and complex algebras -- 3 On systems of partial differential equations related to real algebras -- 4 On the variety of zero divisors in algebras -- 5 Remarks on the power series in quadratic modules -- 6 Regular functions in the Cayley algebra -- Index.
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 p

ローカル注記:

学内専用E-BOOKS (local access only)