Inverse spectral problem for analytic domains. I: Balian-Bloch trace formula

DOI10.1007/s00220-004-1074-yzbMath1086.58016arXivmath/0111077OpenAlexW2114632960MaRDI QIDQ1885628

Steven Zelditch

Publication date: 11 November 2004

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111077

zbMATH Keywords

inverse spectral problembilliardwave trace invariantsisospectral domainsBalian-Bloch trace formulaperiodic billiard trajectory

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Isospectrality (58J53)

Related Items

Quantum ergodicity of boundary values of eigenfunctions, Inverse spectral problems for Schrödinger operators, Symplectic inverse spectral theory for pseudodifferential operators, Inverse spectral problem for analytic domains. II: \(\mathbb Z_2\)-symmetric domains, The wave trace and Birkhoff billiards, Length spectrum rigidity for piecewise analytic Bunimovich billiards, On length spectrum rigidity of dispersing billiard systems, Marked length spectral determination of analytic chaotic billiards with axial symmetries, Invariants of Isospectral Deformations and Spectral Rigidity, Marked length spectrum, homoclinic orbits and the geometry of open dispersing billiards, Inverse spectral problem for analytic \((\mathbb Z/2\mathbb Z)^n\)-symmetric domains in \(\mathbb R^n\), Spectral invariants for coupled spin-oscillators, Trace singularities in obstacle scattering and the Poisson relation for the relative trace

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