Functions of several Cayley-Dickson variables and manifolds over them
Complex Variables
2018-12-18 v1 Differential Geometry
Abstract
Functions of several octonion variables are investigated and integral representation theorems for them are proved. With the help of them solutions of the -equations are studied. More generally functions of several Cayley-Dickson variables are considered. Integral formulas of the Martinelli-Bochner, Leray, Koppelman type used in complex analysis here are proved in the new generalized form for functions of Cayley-Dickson variables instead of complex. Moreover, analogs of Stein manifolds over Cayley-Dickson graded algebras are defined and investigated.
Keywords
Cite
@article{arxiv.math/0603301,
title = {Functions of several Cayley-Dickson variables and manifolds over them},
author = {S. V. Ludkovsky},
journal= {arXiv preprint arXiv:math/0603301},
year = {2018}
}