S. Ludkovsky

activity

19992019

most citedStochastic processes on non-Archimedean spaces with values in non-Archimedean fields

46 citations · 258 across the 56 of their papers we have counts for

collaborators

Showing 2003Show all

3 papers · 1 filter

math.CV2003

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…

math.CV2003★ 4 cited

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 $\partial ~$ -equat…

math.FA2003

Hahn-Banach theorems for $κ$ -normed spaces

S. V. Ludkovsky, J. C. Ferrando

For a new class of topological vector spaces, namely $κ$ -normed spaces, and associated quasisemilinear topological preordered space is defined and investigated. This structure aris…

Line antiderivations over local fields and their applications

Functions of several quaternion variables and quaternion manifolds

Hahn-Banach theorems for κ-normed spaces

Hahn-Banach theorems for $κ$ -normed spaces