مشخصات پژوهش

عنوان	Fundamental results on weak phase retrieval
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Hilbert frames , Fusion frame, Finitely full spark , Full spark , Phase retrieval , Norm retrieval
چکیده	In this manuscript, we answer a list of longstanding open problems on weak phase retrieval including (1) a complete classification of the vectors {xi }i2=1 in R2 that do weak phase retrieval; (2) we show that frames doing weak phase retrieval in Rn must span Rn; (3) we give an example of a set of vectors doing phase retrieval but their orthogonal complement hyperplanes fail weak phase retrieval; (4) we give a classification of weak phase retrievable frames—which makes clear the difference between phase retrieval and weak phase retrieval; (5) we classify when weak phase retrievable frames also do norm retrieval. We then introduce the notion of weak phase retrieval by projections and develop their basic properties. We then look at phase (norm) retrieval by projections. We end with some open problems. We provide numerous examples to show that our results are best possible
پژوهشگران	اصغر رحیمی (نفر سوم)، فاتح اکرمی (نفر دوم)، پیتر جی کاسازا (نفر اول)