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Variational Theory of Splines - Anatoly Yu. Bezhaev

Hardcover Published: 31st August 2001
ISBN: 9780306466427
Number Of Pages: 280

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Th e vari a t i on al s p li ne t heo ry w h ic h orig i na t es from th e w ell-kn own p ap er b y J. e . Hollid a y ( 1957) i s t od a y a we ll- deve lo pe d fi eld in a p pr o x - mat i o n t he o ry . T he ge ne ra l d efinition of s p l i nes in t he Hilb er t s pace , - i st ence , uniquen e s s , and ch ar a c t eriz a tion t he o re ms w ere obt ain ed a b o ut 35 ye a r s ago b y M . A t t ei a , P . J . Laur en t , a n d P . M. An selon e , bu t in r e cent y e a r s important n e w r esult s h a v e b e en ob t ain ed in th e a bst ract va r i a t i o n a l s p l i ne theor y .

Introduction: A Guide to the Reader
Splines in Hilbert Spacesp. 1
Reproducing Mappings and Characterization of Splinesp. 23
General Convergence Techniques and Error Estimates for Interpolating Splinesp. 53
Splines in Subspacesp. 69
Interpolating D[superscript M]-Splinesp. 97
Splines on Manifoldsp. 135
Vector Splinesp. 157
Tensor and Blending Splinesp. 175
Optimal Approximation of Linear Operatorsp. 195
Classification of Spline Objectsp. 215
[Sigma][Pi]-Approximations and Data Compressionp. 229
Algorithms for Optimal Smoothing Parameterp. 243
Appendicesp. 263
Bibliographyp. 269
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780306466427
ISBN-10: 0306466422
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 280
Published: 31st August 2001
Country of Publication: US
Dimensions (cm): 25.4 x 17.78  x 1.91
Weight (kg): 0.75