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.
