Date: Jan 18, 2013 5:58 PM
Author: Vaughan Anderson
Subject: Are elliptic functions orthogonal?

Can an arbitrary function be uniquely expanded in a series solution of

elliptic integrals?

That is to say, can you apply an algorithm like the Fourier analysis,

(or Bessel, Legendre, etc.) to an arbitrary function, using elliptic

integrals instead of trigonometrics as the basis function?

I wonder if this could be a useful technique for reducing nonlinear

data, in systems where certain, simple cases are known to have

elliptic solutions.

Your scholarly input would be greatly appreciated, even if it means

referring me to journal articles, as long as they're by specific

authors.

TIA.