Abstract
Two n-dimensional nonuniform-sampling theorems are proved, which possess additional freedom for constructing recovery functions. One of these implies the n-dimensional uniform-sampling theorem for functions with band-limited Fourier transforms, which also has been proved here through distribution theory. Balth van der Pol's 1959 conjecture on nonuniform sampling for time function is a consequence of these two theorems. For either case, the recovery functions are analytic.
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