The fourier(M) function computes the element-wise Fourier transform of M.  The result, R, is formed as R[i,j] = fourier(M[i,j], u, v).

fourier(f) is the Fourier transform of the scalar f with default independent variable x.  If f is not a function of x, then f is assumed to be a function of the independent variable returned by findsym(f,1). The default return is a function of w.

If f = f(w), then fourier returns a function of t.

By definition, , where the integration above proceeds with respect to x.

fourier(f,v) makes F a function of the variable v instead of the default w.

fourier(f,u,v) makes f a function of u instead of the default. The integration is then with respect to u.