کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4605721 | 1337595 | 2006 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Robustness of sampling and reconstruction and Beurling–Landau-type theorems for shift-invariant spaces
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Robustness of sampling and reconstruction and Beurling–Landau-type theorems for shift-invariant spaces Robustness of sampling and reconstruction and Beurling–Landau-type theorems for shift-invariant spaces](/preview/png/4605721.png)
چکیده انگلیسی
Beurling–Landau-type results are known for a rather small class of functions limited to the Paley–Wiener space and certain spline spaces. Here, we show that the sampling and reconstruction problem in shift-invariant spaces is robust with respect to two classes of probing measures as well as to the underlying shift-invariant space. As an application we enlarge the class of functions for which Beurling–Landau-type results hold.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied and Computational Harmonic Analysis - Volume 20, Issue 2, March 2006, Pages 250-260
Journal: Applied and Computational Harmonic Analysis - Volume 20, Issue 2, March 2006, Pages 250-260