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A new identity for Parseval frames
Author(s):
Radu
Balan;
Peter
G.
Casazza;
Dan
Edidin;
Gitta
Kutyniok
Journal:
Proc. Amer. Math. Soc.
135
(2007),
1007-1015.
MSC (2000):
Primary 42C15;
Secondary 94A12
Posted:
November 14, 2006
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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
Email:
radu.balan@siemens.com
Peter
G.
Casazza
Affiliation:
Department of Mathematics, University of Missouri, Columbia, Missouri 65211
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
DOI:
10.1090/S0002-9939-06-08930-1
PII:
S 0002-9939(06)08930-1
Keywords:
Bessel sequence,
frame,
Hilbert space,
Parseval frame,
Parseval Frame Identity
Received by editor(s):
June 13, 2005.
Posted:
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 of article:
Copyright
2006,
American Mathematical Society
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