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MTM[fourier] - Fourier integral transform
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Calling Sequence
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fourier(M)
fourier(M,v)
fourier(M,u, v)
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Parameters
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M
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array
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v
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variable
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u
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variable
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Description
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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).
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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.
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If f = f(w), then fourier returns a function of t.
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By definition,  , where the integration above proceeds with respect to x.
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fourier(f,v) makes F a function of the variable v instead of the default w.
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fourier(f,u,v) makes f a function of u instead of the default. The integration is then with respect to u.
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Examples
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![M := Matrix([x*exp(-3*x)*Heaviside(x), z*x*exp(-3*x)*Heaviside(x)])](/support/helpjp/helpview.aspx?si=7625/file04817/math166.png)
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![Matrix([[1/(3+I*w)^2, z/(3+I*w)^2]])](/support/helpjp/helpview.aspx?si=7625/file04817/math173.png)
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