Eigenfunction asymptotics and spectral rigidity of the ellipse
Microlocal defect measures for Cauchy data of Dirichlet, resp. Neumann, eigenfunctions of an ellipse E are determined. We prove that, for any invariant curve for the billiard map on the boundary phase space B*E of an ellipse, there exists a sequence of eigenfunctions whose Cauchy data concentrates o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
European Mathematical Society Publishing House
2022
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| Subjects: | |
| Online Access: | View Fulltext in Publisher |