On zeta function and scattering poles for several convex bodies
Mitsuru Ikawa (1994)
Journées équations aux dérivées partielles
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Displaying similar documents to “On poles of scattering matrices for several convex bodies”
On zeta function and scattering poles for several convex bodies
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Divisor of the Selberg zeta function for kleinian groups
Peter A. Perry (1994)
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Scattering by two convex bodies
Mitsuru Ikawa (1991-1992)
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On the poles of the scattering matrix for two convex obstacles
Mitsuru Ikawa (1985)
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The Lax-Phillips infinitesimal generator and the scattering matrix for automorphic functions
Yoichi Uetake (2007)
Annales Polonici Mathematici
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We study the infinitesimal generator of the Lax-Phillips semigroup of the automorphic scattering system defined on the Poincaré upper half-plane for SL₂(ℤ). We show that its spectrum consists only of the poles of the resolvent of the generator, and coincides with the poles of the scattering matrix, counted with multiplicities. Using this we construct an operator whose eigenvalues, counted with algebraic multiplicities (i.e. dimensions of generalized eigenspaces), are precisely the non-trivial...
Poisson formulæ for resonances.
Maciej Zworski (1996-1997)
Séminaire Équations aux dérivées partielles
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Scattering matrix for asymptotically euclidean manifolds
Richard Melrose, Maciej Zworski (1994)
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