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- W156789272 abstract "Publisher Summary This chapter focuses on multiple reflecting rays called later simply rays. Generically, there are no generalized periodic geodesies different from multiple reflecting rays and geodesies lying on the boundary. In general, the singularities, related to two rays, could be cancelled. The chapter discusses representation of Poincare map. It also highlights a few applications concerning spectral invariants for strictly convex planar domains and the distribution of poles of the scattering matrix for trapping obstacles. The linear Poincare map, related to a multiple reflecting ray, is a real symplectic map. If a few pathological pairs of rays are excluded, then any two rays, corresponding to a generic situation, have rationally independent periods." @default.
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- W156789272 date "1986-01-01" @default.
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- W156789272 title "Poisson Relation for Manifolds with Boundary" @default.
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- W156789272 doi "https://doi.org/10.1016/b978-0-12-501658-2.50021-x" @default.
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