# Phase retrieval of bandlimited functions for the wavelet transform

@article{Alaifari2020PhaseRO, title={Phase retrieval of bandlimited functions for the wavelet transform}, author={Rima Alaifari and Francesca Bartolucci and Matthias Wellershoff}, journal={arXiv: Functional Analysis}, year={2020} }

We study the problem of phase retrieval in which one aims to recover a function $f$ from the magnitude of its wavelet transform $|\mathcal{W}_\psi f|$. We consider bandlimited functions and derive new uniqueness results for phase retrieval, where the wavelet itself can be complex-valued. In particular, we prove the first uniqueness result for the case that the wavelet $\psi$ has a finite number of vanishing moments. In addition, we establish the first result on unique reconstruction from…

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