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Information × Registration Number 0208U005827, 0107U010602 , R & D reports Title Problems and methods of hypercomplex analysis and their application in potential theory popup.stage_title Head Tamrazov Promarz Melikovich, Registration Date 14-10-2008 Organization Zhytomyr State University named after Ivan Franko popup.description2 The subject of the research are hyperholomorphic functions, potentials and polinomials in spatial and multidimentional hypercomplex algebras. The aim ot the work is investigation of conditions for functions in a multidimentional commutative Banach algebra to be monogenic, investigation of point spectrums of two real integral operators, of the set of roots of antiquaternion polinomials, of m-hyperholomorphic antiquaternion-valued functions, of split tenzor product of moduls over the quaternion body. Hhere build a multidimentional commutative Banach algebra and monogenic functions in it, associated with threedimentional Laplace equation. Integral representations of the generalized axis-symmetrical potential through analytic functions of the complex variable, defined in a symmetrical with respect to the real axis simply connected domain are established. Point spectrums of two real integral operators being component parts of the complex singular Cauchy operator are investigated. The set of of roots of polinomials in the algebra of antiquaternions are investigated. Properties of m-hyperholomorphic antiquaternion-valued functions are investigated. A notion of split tenzor product of moduls over the quaternion body are introduced, the structure of the splir scalar ring are investigated. Product Description popup.authors popup.nrat_date 2020-04-02 Close