A sharp asymptotic remainder estimate for the eigenvalues of the Laplacian in a domain of R3

Curvature and the eigenvalues of the Laplacian

H. P. McKean, I. M. Singer · Journal of Differential Geometry · 1967 · 950 citations · Full text

Natural Sciences, Mathematics, Physics +8

The spectral function of an elliptic operator

Lars Hörmander · Acta Mathematica · 1968 · 873 citations · Full text

Natural Sciences, Physics, Theoretical Physics +7

The spectrum of positive elliptic operators and periodic bicharacteristics

J. J. Duistermaat, Victor Guillemin · Inventiones mathematicae · 1975 · 616 citations

Natural Sciences, Mathematics, Physics +12

On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems

Shmuel Agmon · Communications on Pure and Applied Mathematics · 1965 · 128 citations

Natural Sciences, Mathematics, Computational Mechanics +11

The Asymptotic Distribution of Eigenvalues and Eigenfunctions for Elliptic Boundary Value Problems

Colin Clark · SIAM Review · 1967 · 60 citations

Natural Sciences, Physics, Finite Element Analysis +10