Zeros of real valued Eigenfunctions
Spectral Theory
2011-11-08 v1
Abstract
Suppose we are given a symmetric operator T acting on a subspace of L2{M,m} where M is a connected manifold and m is a measure positive on open sets. Then there is at most one eigenspace that contains a real valued eigenfunction whose set of zeros has dimension less than n minus one, where n is the dimension of M.
Cite
@article{arxiv.1111.1469,
title = {Zeros of real valued Eigenfunctions},
author = {Sol Schwartzman},
journal= {arXiv preprint arXiv:1111.1469},
year = {2011}
}