Search academic texts

Information × Registration Number 0217U000990, 0111U008862 , R & D reports Title Direct and inverse problems of spectral operator theory and functional algebras on Banach spaces. popup.stage_title Head Zagorodniyk A. V.; Grunev R.O., Registration Date 28-03-2017 Organization Pidstryhach Institute of Applied Problems of Mechanics and Mathematics NAS of Ukraine popup.description2 As a result of completing the research project suggested are algorithms reconstructing Sturm-Liouville operators with energy dependent potentials and Dirac operators with summable potentials; the spectra, maximal ideals, differentiations and homomorphisms of symmetric algebras of analytic functions on Banach spaces are described; symmetric convolution on spectra of such algebras is studied and an analogue of the Wiener theorem for functions on infiniti-dimensional Banach spaces is proved; polynomial analogue of ?-ultradistributions of Beurling and Roumieu types is constructed and differentiation, shift and convolution on the spaces of such polynomial ?-ultradistributions are discribed; various convergence types for sequences of meromorphic mappings are suggested and properties of convergent sequences are established; conditions for local convexity of nonlinear mappings between Banach spaces are found, topological structure of convex sets that are countable unions of locally compact subspaces is characterized, and the notion of regularity for paratopological groups is studied Product Description popup.authors Івашкович С.М. Банах І.Я. Боценюк О.М. Гринів Р.О. Добосевич О.М. Загороднюк А.В. Лозинська В.Я. Манько С.С. Митрофанов М.А. Равський О.В. Терлич Н.І. Чернега І.В. popup.nrat_date 2020-04-02 Close