Geodesic
Some properties of the resolvent kernels for integral equations with
Dalʹnevostočnyj matematičeskij žurnal, Tome 16 (2016) no. 2, pp. 186-208

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We prove that, at regular values lying in a region of generalized strong convergence, the resolvent kernels corresponding to a continuous bi-Carleman kernel vanishing at infinity can be expressed as uniform limits of sequences of resolvent kernels associated with its approximating Hilbert-Schmidt-type subkernels. 
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I. M. Novitskii. Some properties of the resolvent kernels for integral equations with. Dalʹnevostočnyj matematičeskij žurnal, Tome 16 (2016) no. 2, pp. 186-208. http://geodesic.mathdoc.fr/item/DVMG_2016_16_2_a7/