Copyright 2009 Goodman:Capone
Updated April 2009
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f(x) = (integral)(0-inf) ( a(y) cos yx + b(y) sin yx ) dy
a(y) = 1/PI (integral)(-inf->inf) f(t) cos ty dt
b(y) = 1/PI (integral)(-inf->inf) f(t) sin ty dt
f(x) = 1/PI (integral)(0-inf) dy (integral)(-inf-&thinf)f(t) cos (y(x-t)) dt