English

Survey of the inverse spectral problem

Spectral Theory 2011-11-10 v1 Dynamical Systems

Abstract

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.

Keywords

Cite

@article{arxiv.math/0402356,
  title  = {Survey of the inverse spectral problem},
  author = {Steve Zelditch},
  journal= {arXiv preprint arXiv:math/0402356},
  year   = {2011}
}

Comments

To appear in the JDG Surveys

R2 v1 2026-07-22T17:02:47.792Z