کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8900298 1631559 2018 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Orthogonality of a pair of frames over locally compact abelian groups
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Orthogonality of a pair of frames over locally compact abelian groups
چکیده انگلیسی
In this article, we provide necessary and sufficient conditions for the orthogonality of two Bessel families when such families have the form of generalized translation invariant (GTI) systems over a second countable locally compact abelian (LCA) group G. The work is motivated by the utility of a recent notion given by Jakobsen and Lemvig on GTI systems in L2(G), and the concept of the orthogonality (or strongly disjointness) of a pair of frames studied by Balan, Han, and Larson. Consequently, we deduce similar results for several function systems including the case of TI systems, and GTI systems on compact abelian groups. We apply our results to the Bessel families having wave-packet structure (combination of wavelet as well as Gabor structure), and hence a characterization for pairwise orthogonal wave-packet frame systems over LCA groups is obtained. In addition, we relate the well-established theory from literature with our results by observing several deductions in the context of wavelet and Gabor systems over LCA groups with G=Rd,Zd, etc.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 458, Issue 2, 15 February 2018, Pages 1344-1360
نویسندگان
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