Fact: every even Schwartz function on http://alt1.artofproblemsolving.com/...3eaea88a57.gif is the fourier transform of some integrable function.

Using (or not!) that fact, find out if the following are the Fourier transforms of some integrable functions on R:

A. http://alt2.artofproblemsolving.com/...ba6357f194.gif, with http://alt1.artofproblemsolving.com/...315731cd44.gif

B. http://alt2.artofproblemsolving.com/...2de0e68eee.gif, with http://alt1.artofproblemsolving.com/...81f28a3a97.gif

C. http://alt1.artofproblemsolving.com/...2bbdc112e0.gif

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