Martin boundary for homogeneous riemannian manifolds of negative curvature at the bottom of the spectrum.

Ewa Damek; Andrzej Hulanicki; Roman Urban

Revista Matemática Iberoamericana (2001)

  • Volume: 17, Issue: 2, page 257-293
  • ISSN: 0213-2230

Abstract

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In this paper we treat noncoercive operators on simply connected homogeneous manifolds of negative curvature.

How to cite

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Damek, Ewa, Hulanicki, Andrzej, and Urban, Roman. "Martin boundary for homogeneous riemannian manifolds of negative curvature at the bottom of the spectrum.." Revista Matemática Iberoamericana 17.2 (2001): 257-293. <http://eudml.org/doc/39827>.

@article{Damek2001,
abstract = {In this paper we treat noncoercive operators on simply connected homogeneous manifolds of negative curvature.},
author = {Damek, Ewa, Hulanicki, Andrzej, Urban, Roman},
journal = {Revista Matemática Iberoamericana},
keywords = {Variedad riemanniana; Operadores elípticos; Función armónica; Comportamiento asintótico; sum of squares of vector fields; nilpotent Lie group; homogeneous Riemannian manifold; negative curvature; Nash inequality; Green function; Poisson kernel; Martin boundary; Bessel process; diffusion},
language = {eng},
number = {2},
pages = {257-293},
title = {Martin boundary for homogeneous riemannian manifolds of negative curvature at the bottom of the spectrum.},
url = {http://eudml.org/doc/39827},
volume = {17},
year = {2001},
}

TY - JOUR
AU - Damek, Ewa
AU - Hulanicki, Andrzej
AU - Urban, Roman
TI - Martin boundary for homogeneous riemannian manifolds of negative curvature at the bottom of the spectrum.
JO - Revista Matemática Iberoamericana
PY - 2001
VL - 17
IS - 2
SP - 257
EP - 293
AB - In this paper we treat noncoercive operators on simply connected homogeneous manifolds of negative curvature.
LA - eng
KW - Variedad riemanniana; Operadores elípticos; Función armónica; Comportamiento asintótico; sum of squares of vector fields; nilpotent Lie group; homogeneous Riemannian manifold; negative curvature; Nash inequality; Green function; Poisson kernel; Martin boundary; Bessel process; diffusion
UR - http://eudml.org/doc/39827
ER -

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