Line integration of Dirac operators over octonions and Cayley-Dickson algebras

DOI10.1007/BF03321828zbMath1253.30068OpenAlexW1975671972MaRDI QIDQ428962

Sergey V. Ludkovsky

Publication date: 25 June 2012

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321828

zbMATH Keywords

Dirac operatorhypercomplex numbersoctonions, Cayley-Dickson algebras

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (5)

Schauder bases in Dirac modules over quaternions ⋮ Octonion measures for solutions of PDEs ⋮ Unbounded normal operators in octonion Hilbert spaces and their spectra ⋮ Integration of vector Sobolev-type PDE over octonions ⋮ Quasi-permutable normal operators in octonion Hilbert spaces and spectra

Cites Work

• Differential equations over octonions
• Differentiable functions of Cayley-Dickson numbers and line integration
• Functions of several Cayley-Dickson variables and manifolds over them
• Differentiable functions of quaternion variables.
• Quaternionic analysis and elliptic boundary value problems
• Functional calculus of pseudodifferential boundary problems.
• Two-sided Laplace transform over Cayley-Dickson algebras and its applications
• The octonions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Line integration of Dirac operators over octonions and Cayley-Dickson algebras