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Some lemmas on reproducing kernel Hilbert spaces

Dodd, T.J. and Harrison, R.F. (2002) Some lemmas on reproducing kernel Hilbert spaces. Research Report. ACSE Research Report no. 819 . Automatic Control and System Engineering, University of Sheffield

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Abstract

Reproducing kernal Hilbert spaces (RKHS) provide a framework for approximation from finite data using the idea of bounded linear functionals. The approximation problem in this case can be viewed as the inverse problem of finding the optimum operator from the Euclidean space of observations to some subspace of the RKHS. In constructing the appropriate invers operator, use is made of both adjoint operators in RKHS and various norms. In this report a number of lemmas are given with respect to such adjoint operators and norms.

Item Type: Monograph (Research Report)
Copyright, Publisher and Additional Information: The Department of Automatic Control and Systems Engineering research reports offer a forum for the research output of the academic staff and research students of the Department at the University of Sheffield. Papers are reviewed for quality and presentation by a departmental editor. However, the contents and opinions expressed remain the responsibility of the authors. Some papers in the series may have been subsequently published elsewhere and you are advised to cite the later published version in these instances.
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) > ACSE Research Reports
Depositing User: Miss Anthea Tucker
Date Deposited: 06 Sep 2012 14:26
Last Modified: 08 Jun 2014 06:35
Status: Published
Publisher: Automatic Control and System Engineering, University of Sheffield
URI: http://eprints.whiterose.ac.uk/id/eprint/74477

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