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arXiv · 1905.10913

Reproducing kernel Hilbert spaces on manifolds: Sobolev and Diffusion spaces

Ernesto De Vito·Nicole Mücke·Lorenzo Rosasco
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Abstract

We study reproducing kernel Hilbert spaces (RKHS) on a Riemannian manifold. In particular, we discuss under which condition Sobolev spaces are RKHS and characterize their reproducing kernels. Further, we introduce and discuss a class of smoother RKHS that we call diffusion spaces. We illustrate the general results with a number of detailed examples.

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BibTeXRIS

Ernesto De Vito, Nicole Mücke, Lorenzo Rosasco. 2019-05-27. Reproducing kernel Hilbert spaces on manifolds: Sobolev and Diffusion spaces. https://arxiv.org/abs/1905.10913

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