Monogenic Calculus as an Intertwining Operator

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dc.creatorKisil, Vladimir V.
dc.date2003-11-17
dc.date.accessioned2026-07-07T05:02:58Z
dc.date.available2026-07-07T05:02:58Z
dc.descriptionWe revise a monogenic calculus for several non-commuting operators, which is defined through group representations. Instead of an algebraic homomorphism we use group covariance. The related notion of joint spectrum and spectral mapping theorem are discussed. The construction is illustrated by a simple example of calculus and joint spectrum of two non-commuting selfadjoint (n\times n) matrices. Keywords: Functional calculus, spectrum, intertwining operator, spectral mapping theorem, jet spaces, monogenic function, Clifford algebra
dc.description16 pages, 3 PS figures
dc.identifierhttps://arxiv.org/abs/math/0311285
dc.identifierhttp://arxiv.org/abs/math/0311285
dc.identifierBull. Belg. Math. Soc. Simon Stevin, 11(2005), no.5, pp.739--757
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69227
dc.subjectFunctional Analysis
dc.subjectComplex Variables
dc.subjectSpectral Theory
dc.subject47A60; 30G35, 46H30, 47A10, 47B15
dc.titleMonogenic Calculus as an Intertwining Operator
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