A remark on inverse problems for resonances

Maciej Zworski

doi:10.3934/ipi.2007.1.225

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2007, Volume 1, Issue 1: 225-227. Doi: 10.3934/ipi.2007.1.225

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A remark on inverse problems for resonances

Maciej Zworski^1,

1.
Mathematics Department, University of California, Evans Hall, Berkeley, CA 94720

Received: August 31, 2006

Published: January 2007

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Abstract

Trace formulæ have been a powerful tool of inverse spectral theory on compact manifolds. We explain how the information from singularities away from zero immediately translates to the setting of resonances producing similar inverse results.

Keywords:

resonances,
inverse problems,
trace formula.

Mathematics Subject Classification: Primary: 81U40, 35P25.

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