By Fabrizio Colombo,Irene Sabadini,Daniele C. Struppa
This booklet offers a useful calculus for n-tuples of no longer inevitably commuting linear operators. specifically, a sensible calculus for quaternionic linear operators is built. those calculi are according to a brand new idea of hyperholomorphicity for features with values in a Clifford algebra: the so-called slice monogenic features that are rigorously defined within the booklet. relating to capabilities with values within the algebra of quaternions those features are named slice average functions.
Except for the appendix and the creation all effects are new and seem for the 1st time prepared in a monograph. the cloth has been rigorously ready to be as self-contained as attainable. The meant viewers includes researchers, graduate and postgraduate scholars attracted to operator concept, spectral theory, hypercomplex research, and mathematical physics.