Frame wavelet sets in $\mathbb {R}$
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- by X. Dai, Y. Diao and Q. Gu PDF
- Proc. Amer. Math. Soc. 129 (2001), 2045-2055 Request permission
Abstract:
In this paper, we try to answer an open question raised by Han and Larson, which asks about the characterization of frame wavelet sets. We completely characterize tight frame wavelet sets. We also obtain some necessary conditions and some sufficient conditions for a set $E$ to be a (general) frame wavelet set. Some results are extended to frame wavelet functions that are not defined by frame wavelet set. Several examples are presented and compared with some known results in the literature.References
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Additional Information
- X. Dai
- Affiliation: Department of Mathematics, University of North Carolina at Charlotte, Charlotte, North Carolina 28223
- Email: xdai@uncc.edu
- Y. Diao
- Affiliation: Department of Mathematics, University of North Carolina at Charlotte, Charlotte, North Carolina 28223
- MR Author ID: 356341
- Email: ydiao@uncc.edu
- Q. Gu
- Affiliation: Department of Mathematics, Beijing University, Beijing, People’s Republic of China
- Received by editor(s): November 15, 1999
- Published electronically: December 28, 2000
- Communicated by: David R. Larson
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 2045-2055
- MSC (2000): Primary 46N99, 46B28
- DOI: https://doi.org/10.1090/S0002-9939-00-05873-1
- MathSciNet review: 1825916