English

Some properties of the resolvent kernels for continuous bi-Carleman kernels

Functional Analysis 2015-12-29 v1

Abstract

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 limits of sequences of resolvent kernels for its approximating subkernels of Hilbert-Schmidt type

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Cite

@article{arxiv.1512.08476,
  title  = {Some properties of the resolvent kernels for continuous bi-Carleman kernels},
  author = {Igor M. Novitskii},
  journal= {arXiv preprint arXiv:1512.08476},
  year   = {2015}
}

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20 pages