4 citations · 5 across the 6 of their papers we have counts for
20 papers
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…
Line antiderivations over local fields and their applications
S. V. Ludkovsky
A non-Archimedean antiderivational line analog of the Cauchy-type line integration is defined and investigated over local fields. Classes of non-Archimedean holomorphic functions a…
Functions of several quaternion variables and quaternion manifolds
S. V. Ludkovsky
Functions of several quaternion variables are investigated and integral representation theorems for them are proved. With the help of them solutions of the -equat…
Hahn-Banach theorems for -normed spaces
S. V. Ludkovsky, J. C. Ferrando
For a new class of topological vector spaces, namely -normed spaces, and associated quasisemilinear topological preordered space is defined and investigated. This structure aris…
Non-Archimedean stochastic processes on non-Archimedean manifolds
S. V. Ludkovsky
Stochastic processes on manifolds over non-Archimedean fields and with transition measures having values in the field of complex numbers are defined and investigated. The a…
Differentiable functions of quaternion variables
S. V. Ludkovsky, F. van Oystaeyen
We investigate differentiability of functions defined on regions of the real quaternion field and obtain a noncommutative version of the Cauchy-Riemann conditions. Then we study th…