Fourier coefficients of restrictions of eigenfunctions

Emmett L. Wyman, Yakun Xi, Steve Zelditch

Let $\{e_j\}$ be an orthonormal basis of Laplace eigenfunctions of a compact Riemannian manifold $(M,g)$. Let $H\subset M$ be a submanifold and let $\{{\psi }_k\}$ be an orthonormal bas…