Surveys in Differential Geometry

Volume 18 (2013)

Eigenfunctions and nodal sets

Pages: 237 – 308

DOI: http://dx.doi.org/10.4310/SDG.2013.v18.n1.a7

Author

Steve Zelditch (Department of Mathematics, Northwestern University, Evanston, Illinois, U.S.A.)

Abstract

This is a survey of recent results on nodal sets of eigenfunctions of the Laplacian on Riemannian manifolds. The emphasis is on complex nodal sets of analytic continuations of eigenfunctions.

Published 3 May 2013