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The monogenic functional calculus

Jefferies, B; McIntosh, Alan; Picton-Warlow, J

Description

A study is made of a symmetric functional calculus for a system of bounded linear operators acting on a Banach space. Finite real linear combinations of the operators have real spectra, but the operators do not necessarily commute with each other. Analytic functions of the operators are formed by using functions taking their values in a Clifford algebra.

dc.contributor.authorJefferies, B
dc.contributor.authorMcIntosh, Alan
dc.contributor.authorPicton-Warlow, J
dc.date.accessioned2015-12-13T23:41:28Z
dc.date.available2015-12-13T23:41:28Z
dc.identifier.issn0039-3223
dc.identifier.urihttp://hdl.handle.net/1885/94923
dc.description.abstractA study is made of a symmetric functional calculus for a system of bounded linear operators acting on a Banach space. Finite real linear combinations of the operators have real spectra, but the operators do not necessarily commute with each other. Analytic functions of the operators are formed by using functions taking their values in a Clifford algebra.
dc.publisherPolska Akademia Nauk (Polish Academy of Sciences)
dc.sourceStudia Mathematica
dc.subjectKeywords: Clifford algebra; Functional calculus; Monogenic function
dc.titleThe monogenic functional calculus
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume136
dc.date.issued1999
local.identifier.absfor010108 - Operator Algebras and Functional Analysis
local.identifier.ariespublicationMigratedxPub24633
local.type.statusPublished Version
local.contributor.affiliationJefferies, B, University of New South Wales
local.contributor.affiliationMcIntosh, Alan, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationPicton-Warlow, J, University of New South Wales
local.bibliographicCitation.issue2
local.bibliographicCitation.startpage99
local.bibliographicCitation.lastpage119
dc.date.updated2015-12-12T09:32:40Z
local.identifier.scopusID2-s2.0-0007552203
CollectionsANU Research Publications

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