کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4615200 1339310 2015 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Linear independence of compactly supported separable shearlet systems
ترجمه فارسی عنوان
استقلال خطی از سیستمهای تفکیکپذیری فشرده پشتیبانی شده
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

This paper examines linear independence of shearlet systems. This property has already been studied for wavelets and other systems such as, for instance, for Gabor systems. In fact, for Gabor systems this problem is commonly known as the HRT conjecture. In this paper we present a proof of linear independence of compactly supported separable shearlet systems. For this, we employ a sampling strategy to utilize the structure of an implicitly given underlying oversampled wavelet system as well as the shape of the supports of the shearlet elements.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 428, Issue 1, 1 August 2015, Pages 238–257
نویسندگان
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