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Information × Registration Number 0212U002685, 0109U000546 , R & D reports Title Research of properties of subharmonic and analytical functions, statement functions, statement methods popup.stage_title Head Grishin A, Registration Date 26-01-2012 Organization Kharkov National University named after V.N. Karazin popup.description2 Обject of research - subharmonic functions, mеromorphic functions of finite lower order, subharmonic functions of infinite lower order, holomorphic operator-valued functions, a-holomorphic formal power series, holomorphic solutions of linear implicit differential equations in a Banach space. Purposes -· to find the connection between various type of convergence of sequence for subharmonic functions; · to study the class of subharmonic functions with sharp symmetric measures; · to use the methods of subharmonic functions in some geometry problem; · to study the properties of holomorphic solutions of linear implicit differential equations in a Banach space · to construct Riss-Danford functional calculus for formal power series; · to study a structure of the set of positive Petrenko's defects for meromorphic functions; · to study strong asymptotic tracts for subharmonic functions. Меthods of research - mеromorphic and subharmonic functions theory, theory of holomorphic operator-valued functions, the operator theory. Results and methods of investigations can be applied in the research work of the following scientific bodies: the Institute of Mathematics of NAS of Ukraine, the Institute of Mathematics of RAS, the Institute of Physics and Engineering for Low Temperature of NAS of Ukraine, the Universities of Kyiv, Kharkiv, Lviv, Chernovtsy, Moscow, Leipzig (Germany). These results and methods can be used in special courses КEY WORDS: ENTIRE FUNCTION, SUBHARMONIC FUNCTION, MEROMORPHIC FUNCTION, HOLOMORPHIC SOLUTION, FORMAL POWER SERIES Product Description popup.authors Бойко С. Гефтер С. Дубовой В. Марченко І. Татанова В. Черновол Н. popup.nrat_date 2020-04-02 Close