Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9495498 | Journal of Functional Analysis | 2005 | 20 Pages |
Abstract
The local trace function introduced in [Dutkay, The local trace function of shift invariant spaces, J. Operat. Theory 52(2) (2004), 267-291] is used to derive equations that relate multiwavelets and multiscaling functions in the context of a generalized multiresolution analysis, without appealing to filters. A construction of normalized tight frame (NTF) wavelets is given. Particular instances of the construction include NTF and orthonormal wavelet sets.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Dorin Ervin Dutkay,