Asymptotic behavior of the invariant measure for a diffusion related to an NA group

Ewa Damek, and Andrzej Hulanicki. "Asymptotic behavior of the invariant measure for a diffusion related to an NA group." Colloquium Mathematicae 104.2 (2006): 285-309. <http://eudml.org/doc/284303>.

@article{EwaDamek2006,
abstract = {On a Lie group NA that is a split extension of a nilpotent Lie group N by a one-parameter group of automorphisms A, the heat semigroup $μ_t$ generated by a second order subelliptic left-invariant operator $∑_\{j = 0\}^\{m\}Y_j + Y$ is considered. Under natural conditions there is a $μ̌_t$-invariant measure m on N, i.e. $μ̌_t*m = m$. Precise asymptotics of m at infinity is given for a large class of operators with Y₀,...,Yₘ generating the Lie algebra of S.},
author = {Ewa Damek, Andrzej Hulanicki},
journal = {Colloquium Mathematicae},
keywords = {heat semigroup; subelliptic operator; nilpotent Lie group; invariant measure},
language = {eng},
number = {2},
pages = {285-309},
title = {Asymptotic behavior of the invariant measure for a diffusion related to an NA group},
url = {http://eudml.org/doc/284303},
volume = {104},
year = {2006},
}

TY - JOUR
AU - Ewa Damek
AU - Andrzej Hulanicki
TI - Asymptotic behavior of the invariant measure for a diffusion related to an NA group
JO - Colloquium Mathematicae
PY - 2006
VL - 104
IS - 2
SP - 285
EP - 309
AB - On a Lie group NA that is a split extension of a nilpotent Lie group N by a one-parameter group of automorphisms A, the heat semigroup $μ_t$ generated by a second order subelliptic left-invariant operator $∑_{j = 0}^{m}Y_j + Y$ is considered. Under natural conditions there is a $μ̌_t$-invariant measure m on N, i.e. $μ̌_t*m = m$. Precise asymptotics of m at infinity is given for a large class of operators with Y₀,...,Yₘ generating the Lie algebra of S.
LA - eng
KW - heat semigroup; subelliptic operator; nilpotent Lie group; invariant measure
UR - http://eudml.org/doc/284303
ER -