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Strong convergence rates for the estimation of a covariance operator for associated samples

โœ Scribed by Carla Henriques; Paulo Eduardo Oliveira


Publisher
Springer Netherlands
Year
2006
Tongue
English
Weight
227 KB
Volume
11
Category
Article
ISSN
1387-0874

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A rough estimate for the spectral radius
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Let ฯ• โˆผ โˆž -โˆž a k e ikฮธ be a bounded measurable function on the unit circle T. Given m, n โˆˆ N, the sampling operator S ฯ• (m, n) is a bounded linear operator on L 2 (T) whose matrix with respect to the standard basis {e k (z) = z k : k โˆˆ Z} is given by (a mi-nj ) i,j โˆˆZ . In [Proc. AMS 129 (11) (2001)