Re: [LAD] Paul's Extreme Sound Stretch

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To: Robin Gareus <robin@...>
Cc: List <linux-audio-dev@...>, <Linux@...>
Date: Saturday, October 2, 2010 - 1:40 pm

On Fri, 1 Oct 2010 03:25:50 +0200
Robin Gareus wrote:

>

mmm, that sounds ambigous to me... what exactly does it mean?
"Integral" here is used as synonimous of "solution of the heat-PDE"?

What is sure is that Dirichlet was the first to prove a convergence
theorem for Fourier series, and for this he had to first give a new
(both more precise and more general) definition of function. He gave
the famous Dirichlet-function (charateristic of rationals) as an
example of a function - with his definition - not satisfying the
hypotheses of his theorem.

Then Riemann, Cantor and others proved other convergence theorems with
other hypotheses. Cantor actually developed his set theory for the need
to describe the set of some points regarding Fourier series (something
like the admissable discontinuities, can't remember ATM).
Also I seem to remember that Riemann's integral sprouted from
some problems he had in Fourier analysis.

Unfortunately I still know nothing about the history of the
FT...

renato

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Messages in current thread:
[LAD] Paul's Extreme Sound Stretch, Louigi Verona, (Thu Sep 30, 7:01 am)
Re: [LAD] Paul's Extreme Sound Stretch, Philipp Überbacher, (Thu Sep 30, 6:52 pm)
Re: [LAD] Paul's Extreme Sound Stretch, Robin Gareus, (Thu Sep 30, 7:21 pm)
Re: [LAD] Paul's Extreme Sound Stretch, Philipp Überbacher, (Thu Sep 30, 8:25 pm)
Re: [LAD] Paul's Extreme Sound Stretch, Louigi Verona, (Thu Sep 30, 6:56 pm)
Re: [LAD] Paul's Extreme Sound Stretch, Philipp Überbacher, (Thu Sep 30, 8:28 pm)
Re: [LAD] Paul's Extreme Sound Stretch, Chris Cannam, (Thu Sep 30, 9:10 am)
Re: [LAD] Paul's Extreme Sound Stretch, Patrick Shirkey, (Thu Sep 30, 7:40 am)
Re: [LAD] Paul's Extreme Sound Stretch, Robin Gareus, (Thu Sep 30, 10:47 am)
Re: [LAD] Paul's Extreme Sound Stretch, Patrick Shirkey, (Thu Sep 30, 2:01 pm)
Re: [LAD] Paul's Extreme Sound Stretch, Dave Phillips, (Thu Sep 30, 11:15 am)
Re: [LAD] Paul's Extreme Sound Stretch, torbenh, (Thu Sep 30, 12:18 pm)
Re: [LAD] Paul's Extreme Sound Stretch, Robin Gareus, (Thu Sep 30, 11:53 am)
Re: [LAD] Paul's Extreme Sound Stretch, , (Thu Sep 30, 12:29 pm)
Re: [LAD] Paul's Extreme Sound Stretch, Camilo Polymeris, (Fri Oct 1, 12:32 am)
Re: [LAD] Paul's Extreme Sound Stretch, Robin Gareus, (Fri Oct 1, 1:25 am)
Re: [LAD] Paul's Extreme Sound Stretch, Renato, (Sat Oct 2, 1:40 pm)
Re: [LAD] Paul's Extreme Sound Stretch, Philipp Überbacher, (Thu Sep 30, 6:49 pm)
Re: [LAD] Paul's Extreme Sound Stretch, Robin Gareus, (Thu Sep 30, 7:23 pm)
Re: [LAD] Paul's Extreme Sound Stretch, Jens M Andreasen, (Fri Oct 1, 7:37 am)
Re: [LAD] Paul's Extreme Sound Stretch, Robin Gareus, (Fri Oct 1, 1:02 am)
Re: [LAD] Paul's Extreme Sound Stretch, Arnold Krille, (Thu Sep 30, 10:28 pm)
Re: [LAD] Paul's Extreme Sound Stretch, Louigi Verona, (Thu Sep 30, 11:35 am)
Re: [LAD] Paul's Extreme Sound Stretch, Robin Gareus, (Thu Sep 30, 2:21 pm)
Re: [LAD] Paul's Extreme Sound Stretch, Philipp Überbacher, (Thu Sep 30, 8:41 pm)
Re: [LAD] Paul's Extreme Sound Stretch, Robin Gareus, (Thu Sep 30, 10:45 pm)
Re: [LAD] Paul's Extreme Sound Stretch, Folderol, (Thu Sep 30, 10:09 pm)
Re: [LAD] Paul's Extreme Sound Stretch, Erik de Castro Lopo, (Thu Sep 30, 11:51 pm)
Re: [LAD] Paul's Extreme Sound Stretch, Folderol, (Fri Oct 1, 4:43 pm)
Re: [LAD] Paul's Extreme Sound Stretch, Erik de Castro Lopo, (Sat Oct 2, 12:08 am)
Re: [LAD] Paul's Extreme Sound Stretch, gene heskett, (Fri Oct 1, 8:07 pm)
Re: [LAD] Paul's Extreme Sound Stretch, Philipp Überbacher, (Fri Oct 1, 9:03 pm)
Re: [LAD] Paul's Extreme Sound Stretch, Ray Rashif, (Fri Oct 1, 10:17 pm)
Re: [LAD] Paul's Extreme Sound Stretch, gene heskett, (Fri Oct 1, 9:17 pm)
Re: [LAD] Paul's Extreme Sound Stretch, Ralf Mardorf, (Sat Oct 2, 5:54 am)