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math.FA2023★ 4 cited
Sharp estimates for the covering numbers of the Weierstrass fractal kernel
K. Gonzalez, D. Azevedo, T. Jordão
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 in…
math.FA2021
Sharp estimates for the covering numbers of the Weierstrass fractal kernel
Douglas Azevedo, Karina Gonzalez, Thais Jordão
In this paper, we use the infamous continuous and nowhere differentiable Weierstrass function as a prototype to define a Weierstrass fractal kernel. We investigate the properties o…
math.FA2014
Equivalence of modes of convergence on reproducing kernel Hilbert spaces
D. Azevedo
Let be a strictly-positive Borel measure space. We show that the modes of convergence in a reproducing kernel Hilbert (RKHS) space, pointwise, weak and strong are all equiv…