商品詳細

This monograph develops a comprehensive theory of G-monogenic mappings in noncommutative algebras, combining algebraic structure with analytic techniques. Building on quaternionic and hypercomplex analysis, the authors introduce new classes of G- and H-monogenic mappings, establish their fundamental properties, and provide explicit constructive representations via holomorphic functions. Classical tools of complex analysis-including the Cauchy integral theorem, Morera's theorem, and Taylor and Laurent expansions-are extended to noncommutative settings. The theory is further connected to elliptic partial differential equations, demonstrating explicit solution methods. The book offers a unified framework in hypercomplex analysis, noncommutative algebra, and applied complex analysis, making it a suitable reference for researchers working in these fields.