The inverse spectral problem for surfaces of revolution

  title={The inverse spectral problem for surfaces of revolution},
  author={Steve Zelditch},
We prove that isospectral simple analytic surfaces of revolution are isometric. 0 Introduction This article is concerned with the inverse spectral problem for metrics of revolution on S. We will assume that our metrics are real analytic and belong to a class R∗ of rotationally invariant metrics which are of ‘simple type’ and which satisfy some generic non-degeneracy conditions (see Definition (0.1)). In particular, we will assume they satisfy the generalized ‘simple length spectrum’ condition… CONTINUE READING
Highly Cited
This paper has 20 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.


Publications referenced by this paper.
Showing 1-7 of 7 references

Guillemin : The Spectral Theory of Toeplitz Operators

Ann . Math . Studies • 1994

On the period spectrum of a symplectic mapping

F. G J.P. Francoise, V. Guillemin
J. Fun. Anal • 1991

Spektrale starrheit gewisser Drehflachen

E. Heintze
Math . Ann . • 1981

The Spectral Theory of Toeplitz Operators

BM.G L. Boutet de Monvel, V. Guillemin
Ann. Math. Studies • 1981

On the existence of global action-angle variables, Comm.Pure.Appl.Math

J. J. Duistermaat

Bleher , Distribution of energy levels of a quantum free particle on a surface of revolution

P. Bl
Duke Math . J . • 1978

On manifolds all of whose geodesics are closed , Ergeb

Besse A. Besse
C . R . Acad . Sci . Paris t . • 1976

Similar Papers

Loading similar papers…