Kisil, VV orcid.org/0000-0002-6593-6147 (2005) Monogenic Calculus as an Intertwining Operator. Bulletin of the Belgian Mathematical Society - Simon Stevin, 11 (5). pp. 739-757. ISSN 1370-1444
Abstract
We 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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Keywords: | functional calculus; Clifford algebra; Spectrum; intertwining operator; jet spaces; spectral mapping theorem; monogenic function |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 06 Sep 2017 15:41 |
Last Modified: | 06 Sep 2017 15:41 |
Status: | Published |
Publisher: | Belgian Mathematical Society |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:111531 |