Does anyone know how to find analytic solutions to homogeneous linear integral equations? These are equations of the form int(K(x,y) f(y), y=a..b) = v f(x). K(x,y) is a known function over a<=x<=b, a<=y<=b, and I'm willing to assume that K(y,x) = K(x,y)*. (* means complex conjugate.) The problem is to find the eigenfunctions f(x) and eigenvalues v. This is equivalent to finding a set of orthonormal functions f[n](x) such that K(x,y) = sum(v[n] f[n](x) f[n](y)*, n=0..infinity), int(f[m](y) f[n](y)*, y=a..b) = delta[m,n]. The problem can be solved numerically by turning the integral into a sum, and then solving the resulting matrix eignevalue problem, however I'm looking for analytic solutions. __________________________________ Do you Yahoo!? Yahoo! Calendar - Free online calendar with sync to Outlook(TM). http://calendar.yahoo.com