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Rational time–frequency super Gabor frames and their duals

✍ Scribed by Li, Yun-Zhang; Zhou, Feng-Ying

Book ID: 122447616
Publisher: Elsevier Science
Year: 2013
Tongue: English
Weight: 455 KB
Volume: 403
Category: Article
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2013.02.057

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This paper lays the foundation for a quantitative theory of Gabor expansions f (x)= k, n c k, n e 2?in:x g(x&k;). In analogy to wavelet expansions of Besov Triebel Lizorkin spaces, we show that the correct class of spaces which can be characterized by the magnitude of the coefficients c k, n is the