{"product_id":"9783032330994","title":"Foundations of the Theory of G-monogenic Mappings in Noncommutative Algebras","description":"\u003ch3\u003eFrontiers in Mathematics\u003c\/h3\u003e\u003ch1\u003eFoundations of the Theory of G-monogenic Mappings in Noncommutative Algebras\u003c\/h1\u003e\u003ch3\u003eTetiana S. Kuzmenko | Vitalii S. Shpakivskyi\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Complex Analysis\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cdiv\u003eThis 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.\u003c\/div\u003e\r\n\u003cp\u003e \u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e\n\u003cp\u003e\u003cstrong\u003eTetiana S. Kuzmenko\u003c\/strong\u003e \u003cspan data-olk-copy-source=\"MessageBody\"\u003eis an associate professor of the Department of Fundamental Sciences at the Zhytomyr Military Institute\u003c\/span\u003e. \u003cspan data-olk-copy-source=\"MessageBody\"\u003eShe received her Ph.D. in mathematics from the Institute of Mathematics of the National Academy of Sciences of Ukraine in 2018. \u003c\/span\u003eHer research focuses on hypercomplex analysis and the theory of monogenic mappings in noncommutative algebras. Her work combines methods of complex analysis with quaternionic and bicomplex structures, with applications to partial differential equations and analytic function theory.\u003c\/p\u003e\r\n\u003cp\u003e\u003cstrong\u003eVitalii S. Shpakivskyi \u003c\/strong\u003eis a leading research fellow of the Department of Complex Analysis and Potential Theory at the Institute of Mathematics of the National Academy of Sciences of Ukraine. He received his Ph.D. in mathematics from the Institute of Mathematics of the National Academy of Sciences of Ukraine in 2011. He began his academic and research career at the Zhytomyr State University. He is the recipient of many research grants and awards including Ukraine’s Parliament Prize for young scientists in 2013 and the Ukrainian President Prize for young scientists in 2022. An author of more than 80 research articles, his research interests include complex and hypercomplex analysis, analytic function theory of complex variables and monogenic function theory in Banach algebras.\u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e07 September 2026\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer Nature Switzerland\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eBirkhäuser\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9783032330994\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003ePaperback \/ softback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":50803351748748,"sku":"9783032330994","price":53.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783032330994.jpg?v=1781750862","url":"https:\/\/lateknightbooks.com\/products\/9783032330994","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}