A new identity for Parseval frames
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- by Radu Balan, Peter G. Casazza, Dan Edidin and Gitta Kutyniok PDF
- Proc. Amer. Math. Soc. 135 (2007), 1007-1015 Request permission
Abstract:
In this paper we establish a surprising new identity for Parseval frames in a Hilbert space. Several variations of this result are given, including an extension to general frames. Finally, we discuss the derived results.References
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Additional Information
- Radu Balan
- Affiliation: Siemens Corporate Research, 755 College Road East, Princeton, New Jersey 08540
- MR Author ID: 356464
- Email: radu.balan@siemens.com
- Peter G. Casazza
- Affiliation: Department of Mathematics, University of Missouri, Columbia, Missouri 65211
- MR Author ID: 45945
- Email: pete@math.missouri.edu
- Dan Edidin
- Affiliation: Department of Mathematics, University of Missouri, Columbia, Missouri 65211
- Email: edidin@math.missouri.edu
- Gitta Kutyniok
- Affiliation: Institute of Mathematics, Justus-Liebig-University Giessen, 35392 Giessen, Germany
- Email: gitta.kutyniok@math.uni-giessen.de
- Received by editor(s): June 13, 2005
- Published electronically: November 14, 2006
- Additional Notes: The second author was supported by NSF DMS 0405376.
The third author was supported by NSA MDA 904-03-1-0040.
The fourth author was supported by DFG research fellowship KU 1446/5. - Communicated by: Michael T. Lacey
- © Copyright 2006 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 135 (2007), 1007-1015
- MSC (2000): Primary 42C15; Secondary 94A12
- DOI: https://doi.org/10.1090/S0002-9939-06-08930-1
- MathSciNet review: 2262901