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Weighted geometric discrepancies and numerical integration on reproducing kernel Hilbert spaces

โœ Scribed by Michael Gnewuch


Book ID
113689525
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
290 KB
Volume
28
Category
Article
ISSN
0885-064X

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Many nonlinear optimal control and estimation problems can be formulated as Tikhonov variational problems in an infinite dimensional reproducing kernel Hilbert space. This paper shows that any closed ball contained in such spaces is compact in the sup-norm topology. This result is exploited to obtai