Oblique multiwavelets in Hilbert spaces
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Abstract:
In this paper, we elucidate the relationship between two consecutive levels of a multiresolution in the general setting of a Hilbert space. We first prove a result on an extendability problem and then derive, as a consequence, characterizations of oblique multiwavelets in a Hilbert space.References
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Additional Information
- Wai-Shing Tang
- Affiliation: Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, 119260, Republic of Singapore
- Email: mattws@math.nus.edu.sg
- Received by editor(s): August 24, 1998
- Published electronically: November 1, 1999
- Communicated by: David R. Larson
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 2017-2031
- MSC (2000): Primary 46C99, 47B99, 46B15
- DOI: https://doi.org/10.1090/S0002-9939-99-05432-5
- MathSciNet review: 1676357