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inttrans[invfourier] - inverse Fourier transform
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Calling Sequence
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invfourier(expr, w, t)
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Parameters
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expr
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expression, equation, or set of equations and/or expressions to be transformed
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w
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variable expr is transformed with respect to w
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t
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parameter of transform
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opt
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option to run this under (optional)
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Description
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The invfourier function computes the inverse fourier transform (f(t)) of expr (F(w)) with respect to w, using the definition
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Expressions involving exponentials, polynomials, trigonometrics (sin, cos) and a variety of functions and other integral transforms can be transformed.
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The invfourier function recognizes derivatives (diff or Diff) and integrals (int or Int).
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Users can define the transforms of their own functions by using the function addtable.
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The program first attempts to classify the function simply, from the lookup table. Then it considers various cases, including a piecewise decomposition, products, powers, sums, and rational polynomials. Finally, if all other methods fail, the program will resort to integration. If the option opt is set to 'NO_INT', then the program will not integrate. This will increase the speed at which the transform will run.
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The command with(inttrans,invfourier) allows the use of the abbreviated form of this command.
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Examples
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Download Help Document
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