Maple question: defining functions as inverse Fourier transforms

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SUMMARY

The discussion focuses on defining functions as inverse Fourier transforms in Maple, specifically using the expression for the Fourier transformed variable \(\hat{\eta}(k)\). The user encountered issues with the syntax while attempting to compute the inverse Fourier transform using the command invfourier(ETA,k,x). The correct approach involves using \(\hat{\eta}\) instead of ETA and adding the syntax NO_INT to obtain an implicit expression. Additionally, the user is encouraged to consult Maple's help resources for further clarification.

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  • Understanding of Fourier transforms and inverse Fourier transforms
  • Familiarity with Maple software and its syntax
  • Knowledge of the parameters U, B, \(\Omega\), and \(E_b\) in the context of the discussion
  • Basic experience with defining functions in Maple
NEXT STEPS
  • Explore the Maple documentation on inverse Fourier transforms
  • Learn about the NO_INT syntax in Maple for handling integrals
  • Research common errors in Maple function definitions and their resolutions
  • Investigate community resources like mapleprimes.com for additional support and examples
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Mathematicians, physicists, and engineers working with Fourier transforms in Maple, as well as students seeking to understand the application of inverse Fourier transforms in computational software.

hunt_mat
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Hi,

I have a a Fourier transformed variable [itex]\hat{\eta}(k)[/itex] defined as the following:

[tex] \hat{\eta}(k)=\frac{e^{-k^{2}}\tanh k}{kU^{2}+(-B+\Omega U+E_{b}|k|-k^{2})\tanh k}[/tex]

The parameters [itex]U,B,\Omega,E_{b}[/itex] have all been defined previously. I have naively tried the following:

[tex] \eta :=\textrm{invfourier}(ETA,k,x)[/tex]

This doesn't work. What am I doing wrong?

Cheers
 
First thing what is ETA?, you should write ##\hat{\eta}## in this place.
Second, if you read the help in maple then you should add at the beginning of the code: "
upload_2016-6-27_23-4-42.png
"
I assume there's no easy term for the inverse Fourier transform of this expression, but you can get an implicit expression with integral by adding in the last place the syntax: "NO_INT".

I also assume that you read already the help so I don't really no where you get it wrong, perhaps show us your code?

BTW, I find mapleprimes.com as the best place for my questions regarding maple (I am not advertising it's just my experience).
 

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