| 书目名称 | Monogenic Functions in Spaces with Commutative Multiplication and Applications |
| 编辑 | Sergiy A. Plaksa,Vitalii S. Shpakivskyi |
| 视频video | |
| 概述 | Develops function theory in infinite-dimensional spaces with commutative multiplication.Develops function theory in finite-dimensional commutative algebras.Proposes a hypercomplex method for solving lin |
| 丛书名称 | Frontiers in Mathematics |
| 图书封面 |  |
| 描述 | This monograph develops a theory of continuous and differentiable functions, called monogenic functions, in the sense of Gateaux functions taking values in some vector spaces with commutative multiplication. The study of these monogenic functions in various commutative algebras leads to a discovery of new ways of solving boundary value problems in mathematical physics..The book consists of six parts: Part I presents some preliminary notions and introduces various concepts of differentiable mappings of vector spaces. Part II - V is devoted to the study of monogenic functions in various spaces with commutative multiplication, namely, three dimensional commutative algebras with two-dimensional radical, finite-dimensional commutative associative algebras, infinite-dimensional vector spaces associated with the three-dimensional Laplace equation and infinite-dimensional vector spaces associated with axial-symmetric potential fields. Part VI presents some boundary value problems for axial-symmetric potential fields and develops effective analytic methods of solving these boundary value problems with various applications in mathematical physics..Graduate students and researchers alike bene |
| 出版日期 | Book 2023 |
| 关键词 | Constructive Description; Monogenic Function; Finite-Dimensional Commutative Associative Algebra; Infini |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-32254-9 |
| isbn_softcover | 978-3-031-32256-3 |
| isbn_ebook | 978-3-031-32254-9Series ISSN 1660-8046 Series E-ISSN 1660-8054 |
| issn_series | 1660-8046 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 19:43:45
