Survey of the inverse spectral problem

Details Survey of the inverse spectral problem Survey of the inverse spectral problem

2004-02-23

arxiv.org/abs/math/0402356v1

Surveys in differential geometry. Vol. IX, 401--467 (2004)

Mathematics

Spectral Theory

To appear in the JDG Surveys

Scientific paper

This is a survey of the inverse spectral problem on (mainly compact)
Riemannian manifolds, with or without boundary. The emphasis is on wave
invariants: on how wave invariants have been calculated and how they have been
applied to concrete inverse spectral problems.

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