Re: [Help-gsl] Question about Discrete Hankel Transform

[Hongcheng Ni]

Hi Hongzheng,

Thank you for your reply!

However, look at the third formula in that section (32.1) of the manual,
gsl_dht does require the values of function f at zeros of Bessel
function J_nu.

-  
Best regards,
Hongcheng Ni
JILA, University of Colorado at Boulder
440 UCB, Boulder, Colorado 80309-0440


On Mon, 2010-09-20 at 17:04 -0400, Hongzheng Wang wrote:
> Hi Hongcheng,
> 
> I am afraid you misunderstood the manual of GSL at this point.  Just
> take a look at the following quoted sentence in the manual and make
> sure you know what it means:
> 
> ``compare this to the case of the discrete Fourier transform, where
> samples are taken at points related to the zeroes of the sine or
> cosine function.''
> 
> In fact, to do a discrete Hankel transform of a particular function f,
> you just need to provide a sequence of samples of f, which normally
> are obtained indeed on a uniform manner.
> 
> HZ
> 
> On Mon, Sep 20, 2010 at 3:57 PM, Hongcheng Ni <address@hidden> wrote:
> > Hi everyone,
> >
> > I'm a newcomer and have a question about discrete Hankel transform (DHT)
> > in GSL package.
> >
> > By reading the manual, I find that gsl_dht only supports a non-uniform
> > grid system in which sampling is done on the zeros of the Bessel
> > function (of the first kind) J_0.
> >
> > Does anyone know how to use it on a uniform grid? (Because changing my
> > existing code from uniform sampling to non-uniform sampling would cost a
> > lot of time.) Thanks!
> >
> > -
> > Best regards,
> > Hongcheng Ni
> > JILA, University of Colorado at Boulder
> > 440 UCB, Boulder, Colorado 80309-0440
> >
> >
> >
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> > Help-gsl mailing list
> > address@hidden
> > http://lists.gnu.org/mailman/listinfo/help-gsl
> >