Absract

Studying eigenfunction estimates of the Laplace-Betrami operator has been an interesting topic in harmonic analysis. Seminal work by Sogge gives us the eigenfunction estimates of the Laplace-Beltrami operator on compact Riemannian manifolds. Their restriction analogues were studied by Burq, Gerard, and Tzvetkov, and Hu, and there have been many related studies afterwards. In this talk, we summarize known eigenfunction estimates of the Laplace-Betrami and Schrödinger operators on compact Riemannian manifolds, and talk about future work.

Link Information: https://us02web.zoom.us/j/86050584049?pwd=U2pNNVovdlQ1SDlEb1loVEdZQU9Odz09