×

zbMATH — the first resource for mathematics

On zeta function and scattering poles for several convex bodies. (English) Zbl 0872.58048
It is shown that in the classical billiards in \(\mathbb{R}^3\) minus finitely many convex bodies under certain circumstances a condition on the zeta function implies regularity of the scattering matrix at certain points.

MSC:
37C25 Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics
58J50 Spectral problems; spectral geometry; scattering theory on manifolds
PDF BibTeX XML Cite
Full Text: Numdam EuDML