Wavelets in wandering subspaces
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- by T. N. T. Goodman, S. L. Lee and W. S. Tang PDF
- Trans. Amer. Math. Soc. 338 (1993), 639-654 Request permission
Abstract:
Mallat’s construction, via a multiresolution approximation, of orthonormal wavelets generated by a single function is extended to wavelets generated by a finite set of functions. The connection between multiresolution approximation and the concept of wandering subspaces of unitary operators in Hilbert space is exploited in the general setting. An example of multiresolution approximation generated by cardinal Hermite $B$-splines is constructed.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 338 (1993), 639-654
- MSC: Primary 42C15; Secondary 41A15, 47B38
- DOI: https://doi.org/10.1090/S0002-9947-1993-1117215-0
- MathSciNet review: 1117215