On Direct Integral Expansion for Periodic Block-Operator Jacobi Matrices and Applications

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dc.contributor.authorGolinskii, L.
dc.contributor.authorKutsenko, A.
dc.date.accessioned2025-12-03T14:23:42Z
dc.date.issued2019
dc.description.abstractWe construct a functional model (direct integral expansion) and study the spectra of certain periodic block-operator Jacobi matrices, in particular, of general 2D partial difference operators of the second order. We obtain the upper bound, optimal in a sense, for the Lebesgue measure of their spectra. The examples of the operators for which there are several gaps in the spectrum are given.
dc.description.sponsorshipWe thank the anonymous referees for their valuable remarks, which improved the paper significantly.
dc.identifier.citationOn Direct Integral Expansion for Periodic Block-Operator Jacobi Matrices and Applications / L. Golinskii, A. Kutsenko // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 12 назв. — англ.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2019.050
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 47B36; 47B39; 35P15
dc.identifier.otherarXiv: 1809.07136
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/210172
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleOn Direct Integral Expansion for Periodic Block-Operator Jacobi Matrices and Applications
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2019, том 15, випуск за цей рік