Noncommutative Functional Calculus: Theory and Applications by Fabrizio Colombo,Irene Sabadini,Daniele C. Struppa
By Fabrizio Colombo,Irene Sabadini,Daniele C. Struppa
This publication provides a practical calculus for n-tuples of now not inevitably commuting linear operators. specifically, a useful calculus for quaternionic linear operators is built. those calculi are in accordance with a brand new idea of hyperholomorphicity for services with values in a Clifford algebra: the so-called slice monogenic features that are rigorously defined within the booklet. relating to features with values within the algebra of quaternions those capabilities are named slice ordinary functions.
Except for the appendix and the creation all effects are new and seem for the 1st time geared up in a monograph. the cloth has been conscientiously ready to be as self-contained as attainable. The meant viewers contains researchers, graduate and postgraduate scholars drawn to operator conception, spectral theory, hypercomplex research, and mathematical physics.
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