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arXiv · 0806.0655

Spectrum of analytic continuation

David V. Ingerman
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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.

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David V. Ingerman. 2008-06-03. Spectrum of analytic continuation. https://arxiv.org/abs/0806.0655

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