Liouville billiard tables and an inverse spectral result
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Publication:4438695
DOI10.1017/S0143385702001190zbMath1042.37043WikidataQ126101644 ScholiaQ126101644MaRDI QIDQ4438695
Georgi S. Popov, Peter J. Topalov
Publication date: 9 December 2003
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
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Eigenfunction asymptotics and spectral rigidity of the ellipse ⋮ The wave trace and Birkhoff billiards ⋮ Quadratic integrals of geodesic flow, webs, and integrable billiards ⋮ On the integral geometry of Liouville billiard tables ⋮ Four equivalent properties of integrable billiards ⋮ Classification of symmetric periodic trajectories in ellipsoidal billiards ⋮ Discrete analog of the projective equivalence and integrable billiard tables ⋮ One can hear the shape of ellipses of small eccentricity
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