Spectrum of analytic continuation

Details Spectrum of analytic continuation Spectrum of analytic continuation

2008-06-03

arxiv.org/abs/0806.0655v1

Mathematics

General Mathematics

4 pages, 4 figures

Scientific paper

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.

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