These notes summarize the papers [8, 9] on the analysis of resolvent, Eisenstein series and scattering operator for geometrically finite hyperbolic quotients with rational non-maximal rank cusps. They complete somehow the talk given at the PDE seminar of Ecole Polytechnique in october 2005.
@article{SEDP_2005-2006____A3_0,
author = {Guillarmou, Colin},
title = {Scattering and resolvent on geometrically finite hyperbolic manifolds with rational cusps},
journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
note = {talk:3},
pages = {1--15},
publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
year = {2005-2006},
mrnumber = {2276069},
language = {en},
url = {http://archive.numdam.org/item/SEDP_2005-2006____A3_0/}
}
TY - JOUR AU - Guillarmou, Colin TI - Scattering and resolvent on geometrically finite hyperbolic manifolds with rational cusps JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:3 PY - 2005-2006 SP - 1 EP - 15 PB - Centre de mathématiques Laurent Schwartz, École polytechnique UR - http://archive.numdam.org/item/SEDP_2005-2006____A3_0/ LA - en ID - SEDP_2005-2006____A3_0 ER -
%0 Journal Article %A Guillarmou, Colin %T Scattering and resolvent on geometrically finite hyperbolic manifolds with rational cusps %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:3 %D 2005-2006 %P 1-15 %I Centre de mathématiques Laurent Schwartz, École polytechnique %U http://archive.numdam.org/item/SEDP_2005-2006____A3_0/ %G en %F SEDP_2005-2006____A3_0
Guillarmou, Colin. Scattering and resolvent on geometrically finite hyperbolic manifolds with rational cusps. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2005-2006), Exposé no. 3, 15 p. http://archive.numdam.org/item/SEDP_2005-2006____A3_0/
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