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math.FA2018
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…
math.FA2015
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…
math.FA2003★ 4 cited
An extension of Mercer's theorem to unbounded operators
I. M. Novitskii, M. A. Romanov
We give some extensions of Mercer's theorem to continuous Carleman kernels inducing unbounded integral operators.