  We consider the problem of phase retrieval from magnitudes of short-time
Fourier transform (STFT) measurements. It is well-known that signals are
uniquely determined (up to global phase) by their STFT magnitude when the
underlying window has an ambiguity function that is nowhere vanishing. It is
less clear, however, what can be said in terms of unique phase-retrievability
when the ambiguity function of the underlying window vanishes on some of the
time-frequency plane. In this short note, we demonstrate that by considering
signals in Paley-Wiener spaces, it is possible to prove new uniqueness results
for STFT phase retrieval. Among those, we establish a first uniqueness theorem
for STFT phase retrieval from magnitude-only samples in a real-valued setting.
