Construction of multivariate compactly supported prewavelets in L2 space and pre-Riesz bases in Sobolev spaces

Authors:
Ming-Jun Lai
Affiliations:
Department of Mathematics, The University of Georgia, Athens, GA
Venue:
Journal of Approximation Theory
Year:
2006

Citing 6
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Abstract

We give a new constructive method for finding compactly supported prewavelets in L2 spaces in the multivariate setting. This method works for any dimensional space. When this method is generalized to the Sobolev space setting, it produces a pre-Riesz basis for Hs(Rd) which can be useful for applications.