4 citations · 7 across the 10 of their papers we have counts for
10 papers
On Limits of Sequences of Resolvent Kernels for Subkernels
Igor M. Novitskii
In this paper, we approximate to continuous bi-Carleman kernels vanishing at infinity by sequences of their subkernels of Hilbert-Schmidt type and try to construct the resolvent ke…
Some properties of the resolvent kernels for continuous bi-Carleman kernels
Igor M. Novitskii
We prove that, at regular values lying in a strong convergence region, the resolvent kernels for a continuous bi-Carleman kernel vanishing at infinity can be expressed as uniform l…
On Fredholm's Integral Equations on the Real Line, Whose Kernels Are Linear in a Parameter
Igor M. Novitskii
In this paper, we study an infinite system of Fredholm series of polynomials in , formed, in the classical way, for a continuous Hilbert-Schmidt kernel on $\mathbb{R}\times\math…
Kernels of Integral Equations Can Be Boundedly Infinitely Differentiable on
Igor M. Novitskii
In this paper, we reduce the general linear integral equation of the third kind in , with largely arbitrary kernel and coefficient, to an equivalent integral equation eit…
Integral operators with infinitely smooth bi-Carleman kernels of Mercer type
Igor M. Novitskii
With the aim of applications to solving general integral equations, we introduce and study in this paper a special class of bi-Carleman kernels on , cal…
Simultaneous unitary equivalence to Carleman operators with arbitrarily smooth kernels
Igor M. Novitskii
In this paper, we describe families of those bounded linear operators on a separable Hilbert space that are simultaneously unitarily equivalent to integral operators on wi…