1Dept. of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907, U.S.A. 2Institute of Mathematics, Wroclaw University, Plac Grunwaldzki 2/4, 50-384 Wroclaw, Poland
Journal of Lie Theory, Tome 23 (2013) no. 3, pp. 655-668
\def\R{{\Bbb R}} Let $S$ be a semi-direct product $S=N\rtimes A$ where $N$ is a connected and simply connected, non-abelian, nilpotent meta-abelian Lie group and $A$ is isomorphic with $\R^k,$$k>1$. We consider a class of second order left-invariant differential operators ${\cal L}_\alpha$, $\alpha\in\R^k$, on $S$. We obtain an upper bound for the heat kernel for ${\cal L}_\alpha$.
1
Dept. of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907, U.S.A.
2
Institute of Mathematics, Wroclaw University, Plac Grunwaldzki 2/4, 50-384 Wroclaw, Poland
Richard Penney; Roman Urban. Upper Bound for the Heat Kernel on Higher-Rank NA Groups. Journal of Lie Theory, Tome 23 (2013) no. 3, pp. 655-668. http://geodesic.mathdoc.fr/item/JOLT_2013_23_3_a2/
@article{JOLT_2013_23_3_a2,
author = {Richard Penney and Roman Urban},
title = {Upper {Bound} for the {Heat} {Kernel} on {Higher-Rank} {NA} {Groups}},
journal = {Journal of Lie Theory},
pages = {655--668},
year = {2013},
volume = {23},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JOLT_2013_23_3_a2/}
}
TY - JOUR
AU - Richard Penney
AU - Roman Urban
TI - Upper Bound for the Heat Kernel on Higher-Rank NA Groups
JO - Journal of Lie Theory
PY - 2013
SP - 655
EP - 668
VL - 23
IS - 3
UR - http://geodesic.mathdoc.fr/item/JOLT_2013_23_3_a2/
ID - JOLT_2013_23_3_a2
ER -
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%J Journal of Lie Theory
%D 2013
%P 655-668
%V 23
%N 3
%U http://geodesic.mathdoc.fr/item/JOLT_2013_23_3_a2/
%F JOLT_2013_23_3_a2
