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Student Support Forum: 'Defining a transformation' topicStudent Support Forum > General > Archives > "Defining a transformation"

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Julia S
10/05/11 11:51am

I would like to define a transformation function, think Fourier Transformation or Shift Operator, that is a function of (the entire) input function, not a composite function of the input function at a point. For example, I would like to have a function/transformation like:

T[f_[],x_]:= Module[{z},Integrate[f[z] * E^(2*Pi*z*x),z,0,Infinity]]

where I can send T any function f[] defined for a single real input on [0,infinity]. I don't see how to do this using Composite or any other way from the documentation I have found. Thank you.

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