Generalizations of Complex Analysis and Applications
New Developments in Quaternions, Octonions, Clifford’s Geometric Algebras, and Clifford Analysis
Series: Trends in Mathematics;
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Product details:
- Publisher Springer Nature Switzerland
- Date of Publication 7 April 2026
- ISBN 9783032091581
- Binding Hardback
- No. of pages303 pages
- Size 235x155 mm
- Language English
- Illustrations XII, 303 p. 23 illus., 14 illus. in color. 700
Categories
Long description:
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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
Table of Contents:
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Overview of Hypercomplex Algebra and Analysis.- 8-Dimensional Composition Algebras and the Cayley Plane.- Embedding the Okubo algebra in Clifford’s geometric algebras and vice versa.- On Born Reciprocal Relativity Theory, The Relativistic Oscillator and the Fulling-Davies-Unruh Effect.- Discrete octonionic analysis: a unified approach to the split-octonionic and classical settings.- Octonion quadratic-phase Fourier transform: theory and uncertainty principles.- Conjugate (1/q, q)-harmonic Polynomials in q-Clifford Analysis.- Poisson problem on multivector fields in hyperbolic upper-half space H3.- From Line Transformations to Two-Qubit Quantum Gates.- Quaternion Principal Component Analysis: Mathematical Foundations and NMR Spectroscopic Applications.- Singular Value Decomposition for Geometric Algebra modeled AC Electrical Systems.- Expression Classification Using Slepian-based Rotation Invariants Moments.
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