Spectrum of analytic continuation
General Mathematics
2010-03-05 v1
Abstract
I will show that operator of analytic (harmonic) continuation on a lattice graph has a positive spectrum. I use a theorem about positivity of eigenvalues of totally positive matrices. I conjecture that by approximation the similar result holds in continuous case on a plane.
Cite
@article{arxiv.0806.0655,
title = {Spectrum of analytic continuation},
author = {David V. Ingerman},
journal= {arXiv preprint arXiv:0806.0655},
year = {2010}
}
Comments
4 pages, 4 figures