Here, and in the material to follow, "band limited" refers specifically to that case where the spectrum is nonzero only over a single interval centered about zero frequency. It appears, however, that the results can be extended to any spectrum with finite support by application of corresponding sampling theorems. For example, see D. A. Linden, "A Discussion of Sampling Theorems," Proc. IRE 47, 1219–1226 (1959).
J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
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