46 citations · 258 across the 56 of their papers we have counts for
6 papers · 1 filter
Semidirect products of groups of loops and groups of diffeomorphisms of real, complex and quaternion manifolds
S. V. Ludkovsky
This article is devoted to the investigation of semidirect products of groups of loops and groups of diffeomorphisms of finite and infinte dimensional real, complex and quaternion…
Beta and Gamma functions of Cayley-Dickson numbers
S. V. Ludkovsky
The article is devoted to Beta and Gamma functions of Cayley-Dickson numbers. It is shown that there are specific features in comparison with the complex case. These functions serv…
Zeros of polynomials over Cayley-Dickson algebras
S. V. Ludkovsky
The article is devoted to the investigation of transformation groups of polynomials over Cayley-Dickson algebras and their manifolds of zeros. The problems about expressibility of…
Algebras of non-Archimedean measures on groups
S. V. Ludkovsky
The article is devoted to the investigation of properties of quasi-invariant measures with values in non-Archimedean fields such as: convolutions of measures and functions; continu…
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…
Unbounded operators on Banach spaces over the quaternion field
S. V. Ludkovsky
Resolvents of quasi-linear operators and operator algebras in Banach spaces over the quaternion field are investigated. Spectral theory of unbounded nonlinear operators in quaterni…