Short waves through thin interfaces and 2-microlocal measures
Luc Miller (1997)
Journées équations aux dérivées partielles
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Luc Miller (1997)
Journées équations aux dérivées partielles
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A. Voros (1976)
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Francis Nier (1996)
Annales scientifiques de l'École Normale Supérieure
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Marston Morse, W. Transue (1958)
Colloquium Mathematicae
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Paweł Głowacki (1984)
Studia Mathematica
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Steve Zelditch (1998)
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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...
Jean-Luc Joly, Guy Métivier, Jeff Rauch (1993)
Journées équations aux dérivées partielles
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