4 citations · 7 across the 10 of their papers we have counts for
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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…
Integral representations of closed operators as bi-Carleman operators with arbitrarily smooth kernels
Igor M. Novitskii
In this paper, we characterize all closed linear operators in a separable Hilbert space which are unitarily equivalent to an integral bi-Carleman operator in with bounded…
Simultaneous unitary equivalence to bi-Carleman operators with arbitrarily smooth kernels of Mercer type
Igor M. Novitskii
In this paper, we characterize the families of those bounded linear operators on a separable Hilbert space which are simultaneously unitarily equivalent to integral bi-Carleman ope…
Integral representations of unbounded operators by arbitrarily smooth Carleman kernels
Igor M. Novitskii
In this paper, we give a characterization of all closed linear operators in a separable Hilbert space which are unitarily equivalent to an integral operator in with bounde…