کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4605025 1337539 2015 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Sampling-related frames in finite U-invariant subspaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Sampling-related frames in finite U-invariant subspaces
چکیده انگلیسی

Recently, a sampling theory for infinite dimensional U  -invariant subspaces of a separable Hilbert space HH where U   denotes a unitary operator on HH has been obtained. Thus, uniform average sampling for shift-invariant subspaces of L2(R)L2(R) becomes a particular example. As in the general case it is possible to have finite dimensional U-invariant subspaces, the main aim of this paper is to derive a sampling theory for finite dimensional U  -invariant subspaces of a separable Hilbert space HH. Since the used samples are frame coefficients in a suitable euclidean space CNCN, the problem reduces to obtain dual frames with a U-invariance property.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied and Computational Harmonic Analysis - Volume 39, Issue 1, July 2015, Pages 173–184
نویسندگان
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