syms a b t					% Define a, b, and t as symbolic variables
assume(a > 0)				% Assume a is a positive real number
f = exp(-a*abs(t));			% Define f(t) = e^(-a|t|)
ff = fourier(f) 			% Take the Fourier transform of f(t)

assume(b > 0)				% Assume b is a positive real number
g = f*cos(b*t);				% Define g(t) = e^(-a|t|)*cos(bt)
gg = simplify(fourier(g))   % Take the Fourier transform of g(t)