Generalizations of Complex Analysis and Applications
New Developments in Quaternions, Octonions, Clifford’s Geometric Algebras, and Clifford Analysis
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Beschreibung
This volume provides comprehensive coverage of new developments in hypercomplex analysis and Clifford analysis. Contributions are based on talks given at the 9th European Congress of Mathematics minisymposium "Generalizations of Complex Analysis and Applications," held in Spain in July 2024. Specific topics covered include:
- Hypercomplex integral transformations
- Spinors, Lie algebras, Clifford (geometric) algebras and group theory
- Generalizations of the standard model of particle physics
- Function theoretical aspects and technological applications
This volume provides comprehensive coverage of new developments in hypercomplex analysis and Clifford analysis. Contributions are based on talks given at the 9th European Congress of Mathematics minisymposium "Generalizations of Complex Analysis and Applications," held in Spain in July 2024. Specific topics covered include:
- Hypercomplex integral transformations
- Spinors, Lie algebras, Clifford (geometric) algebras and group theory
- Generalizations of the standard model of particle physics
- Function theoretical aspects and technological applications
Provides comprehensive coverage of new developments in hypercomplex algebra Covers an array of applications of quaternions, octonions, Clifford's geometric algebras, and Clifford analysis Features contributions by leading mathematicians, physicists, and engineers
Autor*in
Eckhard Hitzer
Themen in »Generalizations of Complex Analysis and Applications«
Clifford geometric algebra Clifford analysis Hypercomplex algebra Hypercomplex analysis Color image processing Hypercomplex integral transforms Molecular geometry Projective Geometry Space-time algebra Neural Networks Elementary Particle Physics Crystallography Symmetry representation