Multi-variable quaternionic spectral analysis

DOI10.7494/OpMath.2021.41.3.335zbMath1476.15051OpenAlexW3153095700MaRDI QIDQ5004077

Ilwoo Cho, Palle E. T. Jorgensen

Publication date: 30 July 2021

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7494/opmath.2021.41.3.335

zbMATH Keywords

quaternionsspectral functionsspectral forms

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Canonical forms, reductions, classification (15A21)

Related Items

Dynamical systems of operators induced by scaled hypercomplex rings ⋮ Certain invertible operator-block matrices induced by \(C^*\)-algebras and scaled hypercomplex numbers ⋮ Spectral analysis of equations over quaternions ⋮ Operators induced by certain hypercomplex systems

Cites Work

• Einstein's equations and Clifford algebra
• On the eigenvalues of quaternion matrices
• Quaternionic analysis
• Quaternionic eigenvalue problem
• Hamilton and Jacobi Meet Again: Quaternions and the Eigenvalue Problem
• Quaternion Algebras
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