Weak phase and norm retrieval in real Hilbert space
کد مقاله : 1007-SHAA
فاتح اکرمی *
آموزش و پرورش مراغه، دبیر و سرگروه ریاضی دوره اول متوسطه
چکیده مقاله:
In this manuscript, we present some facts about weak phase and norm retrievable real Hilbert frames. We show that every norm retrievable sets must span the space and will classify minimal norm retrievable frames in $mathbb{R}^3$. We will show that every minimal set of vectors $Phi={phi_i}_{i=1}^{m}$ with $m geq n$ that do norm retrieval in $mathbb{R}^n$ is full spark.
Also, we present some facts about weak phase retrievable frames ${x_i}_{i=1}^{2n-2}$ in $mathbb{R}^n$ and frames with n vectors consisting of just $pm 1$.
کلیدواژه ها:
Real Hilbert frames, Full spark, Phase retrieval, Weak phase retrieval, Norm retrieval
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