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We treat the problem of reconstructing a signal from its non-ideal samples where the sampling and reconstruction spaces as well as the class of input signals can be arbitrary subspaces of a Hilbert space. Our formulation is general, and includes as special cases reconstruction from finitely many samples as well as uniform-sampling of continuous-time signals, which are not necessarily bandlimited. To obtain a good approximation of the signal in the reconstruction space from its samples, wedoi:10.1109/tsp.2006.873488 fatcat:ydumxthrf5cenmymcrnsbgw324