Normal form of the wave group and inverse spectral theory

Steve Zelditch

Journées équations aux dérivées partielles (1998)

  • page 1-18
  • ISSN: 0752-0360

Abstract

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This talk will describe some results on the inverse spectral problem on a compact riemannian manifold (possibly with boundary) which are based on V. Guillemin's strategy of normal forms. It consists of three steps : first, put the wave group into a normal form around each closed geodesic. Second, determine the normal form from the spectrum of the laplacian. Third, determine the metric from the normal form. We will try to explain all three steps and to illustrate with simple examples such as surfaces of revolution.

How to cite

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Zelditch, Steve. "Normal form of the wave group and inverse spectral theory." Journées équations aux dérivées partielles (1998): 1-18. <http://eudml.org/doc/93357>.

@article{Zelditch1998,
abstract = {This talk will describe some results on the inverse spectral problem on a compact riemannian manifold (possibly with boundary) which are based on V. Guillemin's strategy of normal forms. It consists of three steps : first, put the wave group into a normal form around each closed geodesic. Second, determine the normal form from the spectrum of the laplacian. Third, determine the metric from the normal form. We will try to explain all three steps and to illustrate with simple examples such as surfaces of revolution.},
author = {Zelditch, Steve},
journal = {Journées équations aux dérivées partielles},
keywords = {inverse spectral problem; compact Riemannian manifold; normal forms},
language = {eng},
pages = {1-18},
publisher = {Université de Nantes},
title = {Normal form of the wave group and inverse spectral theory},
url = {http://eudml.org/doc/93357},
year = {1998},
}

TY - JOUR
AU - Zelditch, Steve
TI - Normal form of the wave group and inverse spectral theory
JO - Journées équations aux dérivées partielles
PY - 1998
PB - Université de Nantes
SP - 1
EP - 18
AB - This talk will describe some results on the inverse spectral problem on a compact riemannian manifold (possibly with boundary) which are based on V. Guillemin's strategy of normal forms. It consists of three steps : first, put the wave group into a normal form around each closed geodesic. Second, determine the normal form from the spectrum of the laplacian. Third, determine the metric from the normal form. We will try to explain all three steps and to illustrate with simple examples such as surfaces of revolution.
LA - eng
KW - inverse spectral problem; compact Riemannian manifold; normal forms
UR - http://eudml.org/doc/93357
ER -

References

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