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Coherent Frames

عنوان مقاله: Coherent Frames
شناسه ملی مقاله: JR_SCMA-11-1_001
منتشر شده در شماره 1 دوره 11 فصل در سال 1397
مشخصات نویسندگان مقاله:

Ataollah Askari Hemmat - Department of Mathematics, Faculty of Mathematics and Computer Sciences, Shahid Bahonar University of Kerman, P.O.Box ۷۶۱۶۹-۱۳۳, Kerman, Iran.
Ahmad Safapour - Department of Mathematics, Faculty of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, P.O.Box ۵۱۸, Rafsanjan, Iran.
Zohreh Yazdani Fard - Department of Mathematics, Faculty of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, P.O.Box ۵۱۸, Rafsanjan, Iran.

خلاصه مقاله:
Frames which can be generated by the action of some operators (e.g. translation, dilation, modulation, ...) on a single element $f$ in a Hilbert space, called coherent frames. In this paper, we introduce a class of continuous frames in a Hilbert space $mathcal{H}$ which is indexed by some locally compact group $G$, equipped with its left Haar measure. These frames are obtained as the orbits of a single element of Hilbert space $mathcal{H}$ under some unitary representation $pi$ of $G$ on $mathcal{H}$. It is interesting that most of important frames are coherent. We investigate canonical dual and combinations of this frames

کلمات کلیدی:
Coherent frame, Continuous frame, Locally compact group, Unitary representation

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/892061/