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MTM[ifourier] - inverse Fourier integral transform
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Calling Sequence
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ifourier(M)
ifourier(M,u)
ifourier(M,v, u)
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Parameters
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M
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array or expression
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u
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variable expr is transformed with respect to u
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v
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parameter of transform
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Description
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The ifourier function applies the inverse Fourier transform to M using the definition
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The ifourier(M) calling sequence computes the element-wise inverse Fourier transform of M. The result, R, is formed as R[i,j] = ifourier(M[i,j], v, u).
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ifourier(F) is the inverse Fourier transform of the scalar F with default independent variable w. If F is not a function of w, then F is assumed to be a function of the independent variable returned by findsym(F,1). By default, the return value is a function of x.
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If F = F(x), then ifourier returns a function of t. The integration above proceeds with respect to w.
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ifourier(F,u) makes F a function of the variable u instead of the default x. The integration above proceeds with respect to w.
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ifourier(F,v,u) takes F to be a function of v instead of the default w. The integration is then with respect to v.
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Examples
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![M := Matrix([3/(1+w^2), 3*z/(1+w^2)])](/support/helpjp/helpview.aspx?si=7635/file04827/math182.png)
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![Matrix([[(3/2)*exp(x)*Heaviside(-x)+(3/2)*exp(-x)*Heaviside(x), (3/2)*z*(exp(x)*Heaviside(-x)+exp(-x)*Heaviside(x))]])](/support/helpjp/helpview.aspx?si=7635/file04827/math189.png)
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