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Sharp estimates for the covering numbers of the Weierstrass fractal kernel

Published 27 Apr 2023 in math.FA | (2304.14116v1)

Abstract: In this paper, we present sharp estimates for the covering numbers of the embedding of the reproducing kernel Hilbert space (RKHS) associated with the Weierstrass fractal kernel into the space of continuous functions. The method we apply is based on the characterization of the infinite-dimensional RKHS generated by the Weierstrass fractal kernel and it requires estimates for the norm operator of orthogonal projections on the RKHS.

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