Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions (Repost)
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
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.
Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions (Repost)
