Arithmetic progressions and holomorphic phase retrieval

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Entire functions of one complex variable (general theory) (30D20) Sampling theory in information and communication theory (94A20)

Cites Work

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Phase retrieval from Gabor measurements
Uniqueness results in an extension of Pauli's phase retrieval problem
Phase retrieval for the Cauchy wavelet transform
Sur un point de la théorie des fonctions génératrices d'\textit{Abel}.
Foundations of time-frequency analysis
Conjugate phase retrieval in Paley-Wiener space
Phase retrieval from sampled Gabor transform magnitudes: counterexamples
Injectivity of Gabor phase retrieval from lattice measurements
On foundational discretization barriers in STFT phase retrieval
Saving phase: injectivity and stability for phase retrieval
Stable phase retrieval with low-redundancy frames
An algebraic characterization of injectivity in phase retrieval
Sampling at twice the Nyquist rate in two frequency bins guarantees uniqueness in Gabor phase retrieval
Phase retrieval of bandlimited functions for the wavelet transform
Phase retrieval in infinite-dimensional Hilbert spaces
Are wave functions uniquely determined by their position and momentum distributions?
A note on the phase retrieval of holomorphic functions
Stable Gabor Phase Retrieval and Spectral Clustering
Phase retrieval for characteristic functions of convex bodies and reconstruction from covariograms
The zeros of certain integral functions.
Non-Uniqueness Theory in Sampled STFT Phase Retrieval
Stable phase retrieval and perturbations of frames
Injectivity of sampled Gabor phase retrieval in spaces with general integrability conditions
Phase retrieval of entire functions and its implications for Gabor phase retrieval
Uniqueness of phase retrieval from three measurements
Phase retrieval for nilpotent groups
Injectivity conditions for STFT phase retrieval on \(\mathbb{Z}\), \(\mathbb{Z}_d\) and \(\mathbb{R}^d\)
Locality and stability for phase retrieval
Stable phase retrieval in function spaces

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