1. Gray and Markels seminal paper on lattice structures for audio
which was written in 70s
is a very good start point.

2. The IEEE Transactions on Acoustics, Speech and Signal processing
esp. pre 1990 is
the place where to get the most tractable mathematics of audio
compression.

3. Another place to look is the G.726/G.729 Audio coding standards.

Riccati

n Mar 30, 1:27 pm, lbrt...@hotmail.com wrote:
>  I am interested in this topic any good links with intro and/or in
> depth incursion to the topic or truly good books? (I am a
> Mathematician, so I don't need any of the basic Math part)
> ~
>  A good intro into lossless sound compression of sound I will need as
> well
> ~
>  Thanks
>  lbrtchx

Might be better to ask this question in comp.dsp.

In article <1175275661.841092.248050@p77g2000hsh.googlegroups.com>, 
lbrtchx@hotmail.com wrote:
> I am interested in this topic any good links with intro and/or in
>depth incursion to the topic or truly good books? (I am a
>Mathematician, so I don't need any of the basic Math part)
>~
> A good intro into lossless sound compression of sound I will need as
>well
>~
> Thanks
> lbrtchx
>

lbrtchx wrote:
>  I am interested in this topic any good links with intro and/or in
> depth incursion to the topic or truly good books?

For free, you can look at

http://www.dspguide.com.

More specific, you would have to explain what you mean by a "good"
transform for audio signals.

> (I am a
> Mathematician, so I don't need any of the basic Math part)
> ~
>  A good intro into lossless sound compression of sound I will need as
> well

Perhaps you find something in the archives of FLAC:

http://flac.sourceforge.net/

Regards,
Andor

 I am interested in this topic any good links with intro and/or in
depth incursion to the topic or truly good books? (I am a
Mathematician, so I don't need any of the basic Math part)
~
 A good intro into lossless sound compression of sound I will need as
well
~
 Thanks
 lbrtchx