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arXiv · 1909.13613

Random Sampling in reproducing kernel subspaces of $L^p({\mathbb R}^n)$

Dhiraj Patel·Sivananthan Sampath
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Abstract

In this paper, we study random sampling on reproducing kernel space $V$, which is a range of an idempotent integral operator. Under certain decay condition on the integral kernel, we show that any element in $V$ can be approximated by an element in a finite-dimensional subspace of $V$. Moreover, we prove with overwhelming probability that random points uniformly distributed over a cube $C$ is stable sample for the set of functions concentrated on $C$

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Dhiraj Patel, Sivananthan Sampath. 2019-09-30. Random Sampling in reproducing kernel subspaces of $L^p({\mathbb R}^n)$. https://doi.org/10.1016/j.jmaa.2020.124270

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