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- Moscow Institute of Physics and TechnologyRU22 papers
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6 papers · 1 filter
Analytic extensions of functions of Cayley-Dickson variables
S. V. Ludkowski
Analytic approximations of functions of Cayley-Dickson variables are investigated. The case of functions of complexified Cayley-Dickson variables is also encompassed. Moreover, ext…
Differential equations over octonions
Sergey V. Ludkovsky
Differential equations with constant and variable coefficients over octonions are investigated. It is found that different types of differential equations over octonions can be res…
Affine and wrap algebras over octonions
S. V. Ludkovsky
The article is devoted to affine and wrap algebras over quaternions and octonions. Residues of functions of quaternion and octonion variables are studied. They are used for constru…
The two-sided Laplace transformation over the Cayley-Dickson algebras and its applications
S. V. Ludkovsky
This article is devoted to the noncommutative version of the Laplace transformation. New types of the direct and inverse transformations of the Laplace type over general Cayley-Dic…
Functions of several Cayley-Dickson variables and manifolds over them
S. V. Ludkovsky
Functions of several octonion variables are investigated and integral representation theorems for them are proved. With the help of them solutions of the -equa…
Differentiable functions of Cayley-Dickson numbers
S. V. Ludkovsky
We investigate superdifferentiability of functions defined on regions of the real octonion (Cayley) algebra and obtain a noncommutative version of the Cauchy-Riemann conditions. Th…