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
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.
Metadata
Item Type:
Monograph
Authors/Creators:
Dodd, T.J.
Harrison, R.F.
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.
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