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dc.contributor.authorLifyand, E.-
dc.contributor.authorMirotin, A.R.-
dc.contributor.authorМиротин, А.Р.-
dc.date.accessioned2023-10-26T12:53:06Z-
dc.date.available2023-10-26T12:53:06Z-
dc.date.issued2023-
dc.identifier.citationLifyand, E. On the symbol calculus for multidimensional Hausdorff operators / E. Lifyand, A. Mirotin // Journal of Mathematical Sciences. - 2023. - 13 September. - P. [1-10].ru
dc.identifier.urihttp://elib.gsu.by/jspui/handle/123456789/63749-
dc.description.abstractThe aim of this work is to derive a symbol calculus on L²(ℝⁿ) for multidimensional Hausdorf operators. Two aspects of this activity result in two almost independent parts. While throughout the perturbation matrices are supposed to be self-adjoint and form a commuting family, in the second part they are additionally assumed to be positive defnite. What relates these two parts is the powerful method of diagonalization of a normal Hausdorf operator elaborated earlier by the second named author.ru
dc.language.isoenru
dc.subjectHausdorf operatorru
dc.subjectCommuting familyru
dc.subjectCommutative algebraru
dc.subjectSymbolru
dc.subjectMatrix symbolru
dc.subjectFourier transformru
dc.subjectConvolutionru
dc.subjectPositive defnitenessru
dc.subjectHolomorphic functionru
dc.subjectFractional powerru
dc.titleOn the symbol calculus for multidimensional Hausdorff operatorsru
dc.typeArticleru
dc.rootJournal of Mathematical Sciencesru
dc.identifier.DOIhttps://doi.org/10.1007/s10958-023-06610-yru
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