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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Foundations of the Theory of G-Monogenic Mappings in Noncommutative Algebras

Foundations of the Theory of G-Monogenic Mappings in Noncommutative Algebras

Shpakivskyi, Vitalii S.
Kuzmenko, Tetiana S.

Paperback

Series: Frontiers in Mathematics

General Mathematics

PREORDER - Expected ship date February 24, 2027

ISBN10: 3032330998
ISBN13: 9783032330994
Publisher: Birkhauser
Published: Feb 24 2027
Pages: 147
Language: English
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.

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