Gabor frames and totally positive functions
نویسندگان
چکیده
منابع مشابه
Zak transforms and Gabor frames of totally positive functions and exponential B-splines
We study totally positive (TP) functions of finite type and exponential Bsplines as window functions for Gabor frames. We establish the connection of the Zak transform of these two classes of functions and prove that the Zak transforms have only one zero in their fundamental domain of quasi-periodicity. Our proof is based on the variation-diminishing property of shifts of exponential B-splines....
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2013
ISSN: 0012-7094
DOI: 10.1215/00127094-2141944