Regularized trace of the inverse of the dirichlet laplacian

For the eigenvalues $( lambda_{n}) _{n=1}^{infty}$ of the Dirichlet Laplacian on a bounded convex domain $fontopen=msbm10 at 10ptdefC{hbox{open C}}Omegasubset{C}$ , we find the sum of the series the regularized trace of the inverse of Dirichlet Laplacian. © 2011 Wiley Periodicals, Inc.