Stationary Subdivisions

Part of the Universitext book series (UTX)


In this chapter we want to sketch a theory that might be viewed as an inverse or dual to the spline approximations developed from the Strang-Fix conditions. Here the main issue is to approximate or fit discrete data through continuous or even smooth data. In this setting, an element of the cardinal spline space \(\sum \nolimits_{\alpha\epsilon\wedge} B_X(x-\alpha)g(\alpha)\)is obtained as a limit of discrete approximations. The main reference is the memoir of Cavaretta, Dahmen, Micchelli [31], where the reader can find proofs of the statements we make; see also Dyn and Levin [52].


Entire Function Compact Support Formal Power Series Discrete Data Integer Point 
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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità di Roma “La Sapienza”RomaItaly

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