Pawel Becchler (Polish Academy of Sciences)
Greedy wavelet
projections and the spaces BV(R^d)
Abstract.
In the space BV of functions of bounded variation on a d-dimensional
euclidean space we consider a compactly supported wavelet basis
normalized in BV. Each function from BV has a unique expansion with
respect to this wavelet basis. An N-term (nonlinear) greedy projection
is obtained by taking the first N largest terms of that expansion. It is
shown that these projections are uniformly bounded in the BV norm.
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