Splines in Hilbert Spaces
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1973
Ph.D
University of Madras
The properties of Splines in Hilbert Space is studied in this thesis. The assumptions are simple and quit sufficient to establish the existence of minimal element for different types of constraint sets, the minimal element being the image of a set of Splines. The existence of two distinct classes of splines is proved; Various interesting and new results for both interpolating and smoothing splines are obtained.
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