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Re: [Bug-gsl] DHT manual

From: Patrick Alken
Subject: Re: [Bug-gsl] DHT manual
Date: Thu, 27 Feb 2014 11:38:29 -0700
User-agent: Mozilla/5.0 (X11; Linux x86_64; rv:24.0) Gecko/20100101 Thunderbird/24.3.0

Hello, would you be willing to edit doc/dht.texi and make the corrections and send it to me? I haven't used the DHT so I'm not familiar with these equations

On 02/27/2014 07:28 AM, Andreas Härtel wrote:
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

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,


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