Analytic extensions of functions of Cayley-Dickson variables

DOI10.1007/s40306-020-00364-4zbMath1451.30094arXiv1810.11626OpenAlexW3031134155MaRDI QIDQ2209800

Sergey V. Ludkovsky

Publication date: 4 November 2020

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.11626

zbMATH Keywords

analytic extensionanalytic approximationfunctions of Cayley-Dickson variables

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Power-associative rings (17A05) Nonassociative algebras satisfying other identities (17A30)

Cites Work

• Differential equations over octonions
• On a class of right linearly differentiable functions of Cayley-Dickson variables
• Spectral theory of super-differential operators of quaternion and octonion variables
• Differentiable functions of Cayley-Dickson numbers and line integration
• Functions of several Cayley-Dickson variables and manifolds over them
• Differential Topology
• The octonions
• Integration of vector hydrodynamical partial differential equations over octonions
• Manifolds over Cayley-Dickson algebras and their immersions
• Integration of vector Sobolev-type PDE over octonions
• Riemannian geometry
• Ordered representations of normal and super-differential operators in quaternion and octonion Hilbert spaces
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