4 citations · 7 across the 10 of their papers we have counts for
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math.SP2012
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…
math.SP2012
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…
math.SP2012★ 1 cited
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…