Showing 2018 · math.APShow all
2 papers · 2 filters
math.AP2018
Improved Generalized Periods Estimates Over Curves on Riemannian Surfaces with Nonpositive Curvature
Emmett L. Wyman, Yakun Xi
We show that on compact Riemann surfaces of nonpositive curvature, the generalized periods, i.e. the -th order Fourier coefficients of eigenfunctions over a closed smooth…
math.AP2018
Period integrals in nonpositively curved manifolds
Emmett L. Wyman
We provide an improvement of a half power of log to standard bounds on integrals of Laplace eigenfunctions over submanifolds of codimension 2 or more, where the ambient space is a…