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coherent frames
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نویسنده
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askari hemmat ataollah ,safapour ahmad ,yazdani fard zohreh
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منبع
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sahand communications in mathematical analysis - 2018 - دوره : 11 - شماره : 1 - صفحه:1 -11
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چکیده
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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 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 h under some unitary representation π of g on h. it is interesting that most of important frames are coherent. we also investigate canonical dual and combinations of this frames.
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کلیدواژه
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coherent frame ,continuous frame ,locally compact group ,unitary representation
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آدرس
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shahid bahonar university of kerman, faculty of mathematics and computer sciences, department of mathematics, ایران, vali-e-asr university of rafsanjan, faculty of mathematical sciences, department of mathematics, ایران, vali-e-asr university of rafsanjan, faculty of mathematical sciences, department of mathematics, ایران
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پست الکترونیکی
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zohreh.yazdanifard@gmail.com; z.yazdanifard@stu.vru.ac.ir
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Authors
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