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Generalizations of Complex Analysis and Applications : New Developments in Quaternions, Octonions, Clifford's Geometric Algebras, and Clifford Analysis - Eckhard Hitzer

Generalizations of Complex Analysis and Applications

New Developments in Quaternions, Octonions, Clifford's Geometric Algebras, and Clifford Analysis

By: Eckhard Hitzer (Editor), Dmitrii Legatiuk (Editor), Sebastià Xambó-Descamps (Editor), Rolf Sören Kraußhar (Editor)

eText | 12 April 2026

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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
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