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arXiv · 2607.11155

Construction of Reproducing Kernel Hilbert Spaces Associated with the Laplace--Bessel Operator

Elina Shishkina
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Abstract

Motivated by applications to the study of problems for partial differential equations with Bessel operator, we introduce a new reproducing kernel Hilbert spaces (RKHS) which is fractional weighted Sobolev space with positive definite kernel. As an application, we obtain a simple and practical approximate solution to the singular Poisson equation.

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Elina Shishkina. 2026-07-13. Construction of Reproducing Kernel Hilbert Spaces Associated with the Laplace--Bessel Operator. https://arxiv.org/abs/2607.11155

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