The study of quantum ergodicity and the precise estimation of eigenfunctions on Riemannian manifolds lies at the intersection of geometric analysis and quantum physics. In settings where the ...

This is a preview. Log in through your library . Abstract New error estimates for eigenvalues of symmetric integral equations are obtained. These estimates are ...

Eigenvalue optimisation problems involve identifying design or material configurations that either maximise or minimise the eigenvalues associated with differential operators under given boundary ...

It is well-known that the radial component of a Dirichlet eigenfunction of an odd dimensional spherical cap is a rational function of finitely many trigonometric functions. More consideration shows ...