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May 6, 2010 at 15:48 comment added Willie Wong Another place to look besides Reed and Simon maybe Hormander's Analysis of Linear Partial Differential Operators, probably either volume 1 or 2.
May 6, 2010 at 15:44 comment added Willie Wong For ease of searching for the OP, I should mention that those are all variations on the classical Paley-Wiener theorem.
May 6, 2010 at 15:14 history answered Nate Eldredge CC BY-SA 2.5