书目名称 | Hypercomplex Analysis: New Perspectives and Applications |
编辑 | Swanhild Bernstein,Uwe Kähler,Frank Sommen |
视频video | http://file.papertrans.cn/431/430619/430619.mp4 |
概述 | Covers developments in all directions of hypercomplex analysis.Presents new perspectives and current trends for researchers interested in or related to the topic.Includes contributions written by lead |
丛书名称 | Trends in Mathematics |
图书封面 |  |
描述 | .Hypercomplex analysis is the extension of complex analysis to higher dimensions where the concept of a holomorphic function is substituted by the concept of a monogenic function. In recent decades this theory has come to the forefront of higher dimensional analysis. There are several approaches to this: quaternionic analysis which merely uses quaternions, Clifford analysis which relies on Clifford algebras, and generalizations of complex variables to higher dimensions such as split-complex variables. This book includes a selection of papers presented at the session on quaternionic and hypercomplex analysis at the ISAAC conference 2013 in Krakow, Poland. The topics covered represent new perspectives and current trends in hypercomplex analysis and applications to mathematical physics, image analysis and processing, and mechanics.. |
出版日期 | Conference proceedings 2014 |
关键词 | continuous and discrete Clifford analysis; image processing; quaternionic analysis; representation theo |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-08771-9 |
isbn_softcover | 978-3-319-35362-3 |
isbn_ebook | 978-3-319-08771-9Series ISSN 2297-0215 Series E-ISSN 2297-024X |
issn_series | 2297-0215 |
copyright | Springer International Publishing Switzerland 2014 |