Oversampling generates super-wavelets
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- by Dorin Ervin Dutkay and Palle Jorgensen PDF
- Proc. Amer. Math. Soc. 135 (2007), 2219-2227 Request permission
Abstract:
We show that the second oversampling theorem for affine systems generates super-wavelets. These are frames generated by an affine structure on the space $\underbrace {L^2(\mathbb {R}^d) \oplus ...\oplus L^2(\mathbb {R}^d)}_{p\ \mbox {times}}$.References
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Additional Information
- Dorin Ervin Dutkay
- Affiliation: Department of Mathematics, University of Central Florida, P.O. Box 161364, Orlando, Florida 32816-1364
- MR Author ID: 608228
- Email: ddutkay@mail.ucf.edu
- Palle Jorgensen
- Affiliation: Department of Mathematics, The University of Iowa, 14 MacLean Hall, Iowa City, Iowa 52242
- MR Author ID: 95800
- ORCID: 0000-0003-2681-5753
- Email: jorgen@math.uiowa.edu
- Received by editor(s): November 16, 2005
- Received by editor(s) in revised form: March 28, 2006
- Published electronically: February 6, 2007
- Communicated by: Joseph A. Ball
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 2219-2227
- MSC (2000): Primary 42C40, 47A20, 65T60, 94A20
- DOI: https://doi.org/10.1090/S0002-9939-07-08724-2
- MathSciNet review: 2299499