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Information × Registration Number 0125U001337, ( 0226U002580  ) R & D request Title Analytical and approximation methods in complex and hypercomplex analysis and their applications Head Shpakivskyi Vitalii S., Доктор фізико-математичних наук Registration Date 25-02-2025 Organization Institute of Mathematics of the National Academy of Sciences of Ukraine popup.description1 The purpose of the research is to develop analytical and approximation methods of real and complex analysis for the study of extremal problems of the geometric functions theory and their application to partial differential equations. Such problems will be considered, in particular, in domains with a periodic structure, i.e. when the domain contains a periodic set of holes or inclusions. The focus will be on research in the following areas: development of the problem of complex analysis, theory of conformal mappings and their generalizations, theory of recovery, theory of approximation, extremal problems of the analytic functions theory, development of variational, symmetrization, extremal-metric methods of analysis and their application to problems of geometric and constructive theory of functions, to multidimensional complex analysis, to boundary value problems of analytic functions of a complex and hypercomplex variable. popup.nrat_date 2025-02-25 Close