Nonclassical eigenvalue asymptotics

Can One Hear the Shape of a Drum?

Mark Kac · American Mathematical Monthly · 1966 · 1.4K citations

Music, Psychoacoustics, Acoustic Ecology +2

Schrödinger semigroups

Barry Simon · Bulletin of the American Mathematical Society · 1982 · 903 citations · Full text

Can One Hear the Shape of a Drum?

Mark Kac · American Mathematical Monthly · 1966 · 756 citations

Music, Psychoacoustics, Ultrasound

Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators

Ky Fan · Proceedings of the National Academy of Sciences · 1951 · 462 citations · Full text

Lower Bounds for the Helmholtz Function

Sidney Golden · Physical Review · 1965 · 236 citations

Spectral Theory, Partition Function, Engineering +13