Bilinear Kakeya-Nikodym averages of eigenfunctions on compact Riemannian surfaces
arXiv:1602.06936 · doi:10.1016/j.jfa.2016.04.015
Abstract
We obtain an improvement of the bilinear estimates of Burq, Gérard and Tzvetkov in the spirit of the refined Kakeya-Nikodym estimates of Blair and the second author. We do this by using microlocal techniques and a bilinear version of Hörmander's oscillatory integral theorem.
19 pages, 1 figure. Affiliation corrected