Spectral analysis of equations over quaternions

DOI10.1007/978-3-031-32009-5_8MaRDI QIDQ6119325

Palle E. T. Jorgensen, Ilwoo Cho

Publication date: 22 March 2024

Published in: Non-commutative and Non-associative Algebra and Analysis Structures (Search for Journal in Brave)

zbMATH Keywords

quaternionsquaternionic equations\(q\)-spectral forms

Mathematics Subject Classification ID

Quaternionic operator theory (47S05) Quaternionic functional analysis (46S05)

Cites Work

• An extension of Herglotz's theorem to the quaternions
• Einstein's equations and Clifford algebra
• Weyl and Browder S-spectra in a right quaternionic Hilbert space
• On the spin projection operator and the probabilistic meaning of the bipartite correlation function
• Lie group machine learning and Gibbs density on Poincaré unit disk from Souriau Lie groups thermodynamics and \(\mathrm{SU}(1,1)\) coadjoint orbits
• Coadjoint orbits in representation theory of pro-Lie groups
• On a class of quaternionic positive definite functions and their derivatives
• On the eigenvalues of quaternion matrices
• Quaternionic eigenvalue problem
• Hamilton and Jacobi Meet Again: Quaternions and the Eigenvalue Problem
• Multi-variable quaternionic spectral analysis
• Quaternion Algebras
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