Scattering Theory on Geometrically Finite Quotients with Rational Cusps
-
Colin Guillarmou
cguillar@math.unice.fr
Downloads
Abstract
We study Eisenstein functions and scattering operator on geometrically finite hyperbolic manifolds with infinite volume and ‘rational‘ non-maximal rank cusps. For both we prove the meromorphic extension and we show that the scattering operator belongs to a certain class of pseudo-differential operators on the conformal infinity which is a manifold with fibred boundaries.
Keywords
Similar Articles
- André Nachbin, Some Mathematical Models for Wave Propagation , CUBO, A Mathematical Journal: Vol. 3 No. 1 (2001): CUBO, Matemática Educacional
- Daniel Henry Gottlieb, Topology and the non-existence of magnetic monopoles , CUBO, A Mathematical Journal: Vol. 2 No. 1 (2000): CUBO, Matemática Educacional
- Lahcen Maniar, Extrapolation Theory and Some Applications , CUBO, A Mathematical Journal: Vol. 2 No. 1 (2000): CUBO, Matemática Educacional
- Charalampos Tsitouras, Explicit Runge-Kutta methods for the numerical solution of initial value problems , CUBO, A Mathematical Journal: Vol. 4 No. 2 (2002): CUBO, Matemática Educacional
- Rafael del Rio, Asaf L. Franco, Jose A. Lara, An approach to F. Riesz representation Theorem , CUBO, A Mathematical Journal: Vol. 20 No. 2 (2018)
- B. C. Das, Soumen De, B. N. Mandal, Wave propagation through a gap in a thin vertical wall in deep water , CUBO, A Mathematical Journal: Vol. 21 No. 3 (2019)
- David Békollè, Khalil Ezzinbi, Samir Fatajou, Duplex Elvis Houpa Danga, Fritz Mbounja Béssémè, Convolutions in \((\mu,\nu)\)-pseudo-almost periodic and \((\mu,\nu)\)-pseudo-almost automorphic function spaces and applications to solve integral equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Binayak S. Choudhury, Nikhilesh Metiya, Sunirmal Kundu, Existence, well-posedness of coupled fixed points and application to nonlinear integral equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Bruno Aguiló Vidal, Free dihedral actions on abelian varieties , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- Gaurav Kumar, Brij K. Tyagi, Weakly strongly star-Menger spaces , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
<< < 7 8 9 10 11 12 13 14 15 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2009-12-01
How to Cite
[1]
C. Guillarmou, “Scattering Theory on Geometrically Finite Quotients with Rational Cusps”, CUBO, vol. 11, no. 5, pp. 129–172, Dec. 2009.
Issue
Section
Articles
