Journal article
Riesz sequences of translates and generalized duals with support on [0,1]
If the integer translates of a function phi with compact support generate a frame for a subspace W of L-2(R), then it is automatically a Riesz basis for W, and there exists a unique dual Riesz basis belonging to W. Considerable freedom can be obtained by considering oblique duals, i.e., duals not necessarily belonging to W.
Extending work by Ben-Artzi and Ron, we characterize the existence of oblique duals generated by a function with support on an interval of length one. If such a generator exists, we show that it can be chosen with desired smoothness. Regardless whether phi is polynomial or not, the same condition implies that a polynomial dual supported on an interval of length one exists.
Language: | English |
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Publisher: | Springer-Verlag |
Year: | 2006 |
Pages: | 585-596 |
ISSN: | 1559002x and 10506926 |
Types: | Journal article |
DOI: | 10.1007/BF02922132 |
ORCIDs: | Christensen, Ole |