Improved two–term asymptotics for the eigenvalue distribution function of an elliptic operator on a compact manifold
A. V. Volovoy · Communications in Partial Differential Equations · 1990
We study the asymptotics of the eigenvalue distribution function N(λ) as λ→+∞ for an elliptic operator A on a compact manifold X whithout boundary. More exactly, we estimate the remainder in the two-term asymptotics for N(λ). The general method we apply here is investigation of the structure of the unitary exponential U(t)=exp(-itA) with subsequent application of the Tauberian technique