2015arXiv (Cornell University)Open access

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

Igor M. Novitskii

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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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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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Available 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

Key concepts: Resolvent, Mathematics, Infinity, Kernel (algebra), Resolvent formalism, Convergence (economics), Mathematical analysis, Type (biology)

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