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bessel operator 1fractional sobolev spaces 1partial differential equations 1reproducing kernel hilbert spaces 1singular poisson equation 1

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math.FA2026

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

Elina Shishkina

The paper defines a new reproducing kernel Hilbert space that serves as a fractional weighted Sobolev space with a positive‑definite kernel, motivated by PDEs involving the Laplace…