实l^(2)上相位恢复的一些结果

Some Results of Phase Retrieval on Real l^(2)

考虑实l^(2)上相位恢复问题.首先给出实l^(2)上相位恢复的条件,包括充分条件、必要条件及充要条件;其次讨论实l^(2)上范数恢复问题及实l^(2)上有限个投影恢复问题,也给出与框架相关的范数恢复结论.

This paper considers the phase retrieval problems on real l^(2).The conditions of phase retrieval on real l^(2) are first given,including sufficient conditions,necessary conditions,and sufficient and necessary conditions.Then,norm retrieval problems and finite projection retrieval problems on real l^(2) are discussed.Finally,the results of norm retrieval related to frames are also presented.