4 citations · 4 across the 7 of their papers we have counts for
7 papers
Holomorphic semi-almost periodic functions
A. Brudnyi, D. Kinzebulatov
We study the Banach algebras of bounded holomorphic functions on the unit disk whose boundary values, having, in a sense, the weakest possible discontinuities, belong to the algebr…
Schrödinger operators and unique continuation. Towards an optimal result
D. Kinzebulatov, L. Shartser
In this article we prove the property of unique continuation (also known for C^\infty functions as quasianalyticity) for solutions of the differential inequality |Δu| \leq |Vu| for…
Approximation theorems for Banach-valued almost periodic and semi-almost periodic holomorphic functions
A. Brudnyi, D. Kinzebulatov
The paper studies semi-almost periodic holomorphic functions on a polydisk which have, in a sense, the weakest possible discontinuities on the boundary torus. The basic result used…
On well-posedness of the linear Cauchy problem with the distributional right-hand side and discontinuous coefficients
Damir Kinzebulatov
We prove the well-posedness of the Cauchy problem for the linear differential system of the form , where is a distribution and possesses at most first-k…
Systems with distributions and viability theorem
D. Kinzebulatov
The approach to the consideration of the ordinary differential equations with distributions in the classical space of distributions with continuous test functions has…
The space of distributions with discontinuous test functions and a family of zero-sum games with discontinuous payoffs
V. Derr, D. Kinzebulatov
In the present paper we consider one class of zero-sum games with discontinuous payoffs which may have no solutions in the sets of pure or mixed strategies. We show that, however,…