576 citations
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Showing 2006Show all
3 papers · 1 filter
math.CV2006
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…
math.CV2006★ 37 cited
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…
math.DG2006★ 14 cited
Normal families of functions and groups of pseudoconformal diffeomorphisms of quaternion and octonion variables
S. V. Ludkovsky
This paper is devoted to the specific class of pseudoconformal mappings of quaternion and octonion variables. Normal families of functions are defined and investigated. Four criter…