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Are elliptic functions orthogonal?
Posted:
Jan 18, 2013 5:58 PM


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.



