E. Wyman

collaborators

3 papers

math.CA2019

Weyl Law Improvement for Products of Spheres

Alex Iosevich, Emmett Wyman

The classical Weyl Law says that if $N_{M} (λ)$ denotes the number of eigenvalues of the Laplace operator on a $d$ -dimensional compact manifold $M$ without a boundary that are less th…

math.CA2019

Fourier frames for surface-carried measures

Alex Iosevich, Chun-Kit Lai, Bochen Liu +1

In this paper we show that the surface measure on the boundary of a convex body of everywhere positive Gaussian curvature does not admit a Fourier frame. This answers a question pr…

math.AP2017

Looping directions and integrals of eigenfunctions over submanifolds

Emmett L. Wyman

Let $(M, g)$ be a compact $n$ -dimensional Riemannian manifold without boundary and $e_{λ}$ be an $L^{2}$ -normalized eigenfunction of the Laplace-Beltrami operator with respect to the me…