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[Bug-gsl] DHT manual

From: Andreas Härtel
Subject: [Bug-gsl] DHT manual
Date: Thu, 27 Feb 2014 15:28:36 +0100
User-agent: Mozilla/5.0 (X11; Linux x86_64; rv:24.0) Gecko/20100101 Thunderbird/24.3.0

Dear GSL-manual team,

the manual for the DHT should be updated:

when the scaling factor X is used,
the factor X^2 enters the calculation.
Then, DHT[f](k) calculates
1/(2Pi) int f(x) e^(-i x k) d^2x
for a two dimensional x.
This is not clear mentioned in the documentation.

Moreover, when using the factor X, after a forward and backward transformation there enters the factor j_{nu,i}^2 / X^4, NOT only j_{nu,i}^2.

This can easily be seen from the article of H.F. Johnson (mentioned in the documentation), eq. (13), where DHT calculates always a term as given by eq. (12), for forward and backward transform, respectively.

It took me some time to find this out, so it would be nice to update the documentation with respect to future readership.
I am willing to help you, if it is not delayed by monthes.

Best regards,


Dr. Andreas Härtel
ITF, Utrecht University
MG 305
Leuvenlaan 4
3584 CE Utrecht
The Netherlands
Phone: +31 30 253 2322
eMail: address@hidden

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