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Information × Registration Number 0216U001274, 0113U000184 , R & D reports Title Development of analytical methods in infinite-dimensional complex analysis and operator theory popup.stage_title Head Zagorodnyuk Andriy Vasylyovych, Registration Date 02-02-2016 Organization Centre of distance learning and knowledge control of Precerpathian national University named after V.Stefanyk popup.description2 Described algebraic and analytic structure on spectra algebra of symmetric functions Banach space. Described range algebra (p, q) -polynomials on Banach spaces, studies operator shift at symmetrical block-symmetric algebra analytic functions of bounded type and proved his hipertsyklichnist. A new effective method of recovery potential for the Sturm-Liouville by Schrodinger and spectral data. Construct functional calculus in the algebra of symmetric Banach spaces of analytic functions countable sequence of commuting operators received a full description of the spectral data for potential Sturm-Liouville and Schrodinger. Reproducing kernels studied composition and operators in spaces of Hardy from an infinite number of variables, grounded potential recovery algorithm for spectral data. For generators strongly continuous semigroups of operators acting in Banach space, built functional calculus type Phillips Hill hiperfunktsiy in class with compact support. Proved the domain of the density calculation. Narrowed class operators to generators of analytic semigroups of operators with the resulting functional notation, which is not algebraic and topological isomorphism relevant algebra, considered abstract differentiation in the algebra of polynomial distributions built generalization notation type Phillips Hill in the class of polynomial distributions. Product Description popup.authors Загороднюк Андрій Васильович Лабачук Оксана Василівна Соломко Андрій Васильович Філевич Петро Васильович Чернега Ірина Володимирівна popup.nrat_date 2020-04-02 Close