Hypercomplex analysis [electronic resource] : new perspectives and applications / Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen, editors.

Hypercomplex analysis [electronic resource] : new perspectives and applications / Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen, editors.

9783319087719 electronic book
3319087711 electronic book
9783319087702

Basel : Birkhäuser, 2014.

English

1 online resource (vii, 227 pages).

10.1007/978-3-319-08771-9 doi

QA331.7

515/.9

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.

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Online resource; title from PDF title page (SpringerLink, viewed October 27, 2014).

Trends in mathematics.

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