Covering numbers of isotropic reproducing kernels on compact two‐point homogeneous spaces

DOI10.1002/mana.201600125zbMath1404.46021OpenAlexW2594194771MaRDI QIDQ4598736

V. S. Barbosa, Douglas R. M. Azevedo

Publication date: 15 December 2017

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201600125

zbMATH Keywords

covering numberscompact two-point homogeneous spacesisotropic kernelseigenvalue decaypositive cubature formula

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Positive definite functions in one variable harmonic analysis (42A82) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Spherical harmonics (33C55) Approximation by other special function classes (41A30)

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Genuinely sharp heat kernel estimates on compact rank-one symmetric spaces, for Jacobi expansions, on a ball and on a simplex ⋮ Series expansions among weighted Lebesgue function spaces and applications to positive definite functions on compact two-point homogeneous spaces ⋮ Reproducing kernels: harmonic analysis and some of their applications ⋮ A close look at the entropy numbers of the unit ball of the reproducing Hilbert space of isotropic positive definite kernels ⋮ Time-varying isotropic vector random fields on compact two-point homogeneous spaces ⋮ Isotropic covariance matrix functions on compact two-point homogeneous spaces ⋮ Sharp estimates for the covering numbers of the Weierstrass fractal kernel

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