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A new identity for Parseval frames |
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| Authors: | Radu Balan Peter G. Casazza Dan Edidin Gitta Kutyniok |
| Affiliation: | Siemens Corporate Research, 755 College Road East, Princeton, New Jersey 08540 ; Department of Mathematics, University of Missouri, Columbia, Missouri 65211 ; Department of Mathematics, University of Missouri, Columbia, Missouri 65211 ; Institute of Mathematics, Justus-Liebig-University Giessen, 35392 Giessen, Germany |
| 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. |
| Keywords: | Bessel sequence frame Hilbert space Parseval frame Parseval Frame Identity |
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