46 citations · 258 across the 56 of their papers we have counts for
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Line integration and second order partial differential equations over Cayley-Dickson algebras
S. V Ludkovsky
Line integration of generalized functions is studied. Second order partial differential equations with piecewise continuous and generalized variable coefficients over Cayley-Dickso…
Multidimensional Laplace transforms over Cayley-Dickson algebras and partial differential equations
S. V. Ludkovsky
Multidimensional noncommutative Laplace transforms over octonions are studied. Theorems about direct and inverse transforms and other properties of the Laplace transforms over the…
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…
Quasi-conformal functions of quaternion and octonion variables, their integral transformations
S. V. Ludkovsky
The article is devoted to holomorphic and meromorphic functions of quaternion and octonion variables. New classes of quasi-conformal and quasi-meromorphic mappings are defined and…
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…