# Trace operator

1. Jul 20, 2009

### zetafunction

given the function (or distribution)

$$\sum_{n=0}^{\infty} f(E_n,u )= Z(u)$$ for 'f' an arbitrary function and $$E_n$$ a set of eigenvalues of a certain operator $$f (L)$$ with L self adjoint so all the eigenvalues are real , could we obtain the form of 'L' from Z(u) ??

2. Aug 7, 2009

Define $$f(E_n,u )$$