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Commuting Operators...
Commuting Operators for Representations of Commutation Relations Defined by Dynamical Systems
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- Persson, Tomas (author)
- Lund University,Lunds universitet,Dynamiska system,Forskargrupper vid Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Dynamical systems,Lund University Research Groups,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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- Silvestrov, Sergei (author)
- Mälardalens högskola,Akademin för utbildning, kultur och kommunikation,Matematik/tillämpad matematik
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(creator_code:org_t)
- Informa UK Limited, 2012
- 2012
- English.
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In: Numerical Functional Analysis and Optimization. - : Informa UK Limited. - 1532-2467 .- 0163-0563. ; 33:7-9, s. 1126-1165
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Abstract
Subject headings
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- In this article, using orbits of the dynamical system generated by the function F, operator representations of commutation relations XX* = F (X* X) and AB = BF (A) are studied and used to investigate commuting operators expressed using polynomials in A and B. Various conditions on the function F, defining the commutation relations, are derived for monomials and polynomials in operators A and B to commute. These conditions are further studied for dynamical systems generated by affine and q-deformed power functions, and for the beta-shift dynamical system.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
Keyword
- Commutation relations
- Commuting elements
- Dynamical systems
- Periodic
- points
- Representations
- Spectral measure
- Mathematical analysis
- Mathematics/Applied Mathematics
Publication and Content Type
- art (subject category)
- ref (subject category)
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