【摘 要】
：
Let f be a compactly supported function in L2(Rn).It is well known that we can recover f from its Fourier transform(∧)f.The classical phase retrieval problem a
【机 构】
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MichiganStateUniversity
【出 处】
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Harmonic Analysis and Applications(2014调和分析及其应用学术会议)
论文部分内容阅读
Let f be a compactly supported function in L2(Rn).It is well known that we can recover f from its Fourier transform(∧)f.The classical phase retrieval problem asks whether we can recover f from |(∧)f|.In other words we want to recover the phase information from the magnitude information.This problem can also be asked under a more general setting:Let x 2 H be an element in a Hilbert space H.Is it possible to recover x from {|Lj(x)|} where each Lj is a functional on H? The problem,even in the finite dimensional setting,turns out to be a very challenging mathematical problem and remains unsolved.It has surprising links to a classical problems on the embedding of manifolds into Euclidean spaces.In this talk Ill give an overview of the problem and discuss some of the recent progresses.
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