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dc.contributor.authorTrivedi, Shailesh-
dc.date.accessioned2023-08-17T10:24:41Z-
dc.date.available2023-08-17T10:24:41Z-
dc.date.issued2016-06-
dc.identifier.urihttps://londmathsoc.onlinelibrary.wiley.com/doi/full/10.1112/jlms/jdw029-
dc.identifier.urihttp://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11474-
dc.description.abstractLet be a rooted directed tree with finite branching index , and let be a left-invertible weighted shift on . We show that can be modelled as a multiplication operator on a reproducing kernel Hilbert space of -valued holomorphic functions on a disc centred at the origin, where . The reproducing kernel associated with is multi-diagonal and of bandwidth Moreover, admits an orthonormal basis consisting of polynomials in with at most non-zero coefficients. As one of the applications of this model, we give a spectral picture of Unlike the case , the approximate point spectrum of could be disconnected. We also obtain an analytic model for left-invertible weighted shifts on rootless directed tree with finite branching index.en_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.subjectMathematicsen_US
dc.subjectAnalytic modelen_US
dc.titleAn analytic model for left-invertible weighted shifts on directed treesen_US
dc.typeArticleen_US
Appears in Collections:Department of Mathematics

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