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

In this paper we present upper and lower estimates for the covering numbers of the unit ball of a reproducing kernel Hilbert space associated to a continuous isotropic kernel on a compact two‐point homogeneous space (CTPHS). These estimates are obtained from estimates on the decay of the Fourier–Jac...

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Veröffentlicht in:	Mathematische Nachrichten 2017-11, Vol.290 (16), p.2444-2458
Hauptverfasser:	Azevedo, Douglas, Barbosa, Victor S.
Format:	Artikel
Sprache:	eng
Schlagworte:	22F30 33C55 41A99 42A82 47A75 compact two‐point homogeneous spaces Covering numbers eigenvalue decay Estimates Hilbert space isotropic kernels Kernels positive cubature formula
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