Zeros of real valued Eigenfunctions

Details Zeros of real valued Eigenfunctions Zeros of real valued Eigenfunctions

2011-11-07

arxiv.org/abs/1111.1469v1

Mathematics

Spectral Theory

Scientific paper

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.

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