Fabrizio Colombo, Irene Sabadini, Daniele C Struppa - Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions
Published: 2011-03-22 | ISBN: 3034801092 | PDF | 228 pages | 3 MB
This book presents a functional calculus for n-tuples of not necessarily commuting linear operators. In particular, a functional calculus for quaternionic linear operators is developed. These calculi are based on a new theory of hyperholomorphicity for functions with values in a Clifford algebra: the so-called slice monogenic functions which are carefully described in the book. In the case of functions with values in the algebra of quaternions these functions are named slice regular functions.