Nonexistence of Generalized Scattering Rays and Singularities of the Scattering Kernel for Generic Domains in ℝ 3

DOI10.2307/2048623zbMath0742.58056OpenAlexW2061417496MaRDI QIDQ3982144

Latchezar Stoyanov

Publication date: 26 June 1992

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2048623

zbMATH Keywords

singularitysojourn timescattering kernelgeneric domainsgeneralized (\(\omega,\theta\)) raysreflecting (\(\omega,\theta\))-rays

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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