Generalizations of Complex Analysis and Applications
portes grátis
Generalizations of Complex Analysis and Applications
New Developments in Quaternions, Octonions, Clifford's Geometric Algebras, and Clifford Analysis
Krausshar, Rolf Soeren; Legatiuk, Dmitrii; Xambo-Descamps, Sebastia; Hitzer, Eckhard
Springer Nature Switzerland AG
04/2026
303
Dura
Inglês
9783032091581
Pré-lançamento - envio 15 a 20 dias após a sua edição
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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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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
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
