An Inverse Spectral Theorem

E. B. Davies

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arXiv · 1010.0094

An Inverse Spectral Theorem

E. B. Davies

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Abstract

We prove a substantial extension of an inverse spectral theorem of Ambarzumyan, and show that it can be applied to arbitrary compact Riemannian manifolds, compact quantum graphs and finite combinatorial graphs, subject to the imposition of Neumann (or Kirchhoff) boundary conditions.

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E. B. Davies. 2010-10-01. An Inverse Spectral Theorem. https://arxiv.org/abs/1010.0094

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