A bandlimited function can be recovered from N-operator sample sequences at integer multiples of N exactly when a certain matrix of Fourier multipliers stays invertible with determinant bounded away from zero.
Cohn, From sphere packing to Fourier interpolation Bull
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Dynamical sampling, derivatives, and interpolation formulas in the Paley--Wiener space
A bandlimited function can be recovered from N-operator sample sequences at integer multiples of N exactly when a certain matrix of Fourier multipliers stays invertible with determinant bounded away from zero.