Note on analytic regularity of heat kernels
on nilpotent Lie groups
Colloquium Mathematicum, Tome 97 (2003) no. 2, pp. 163-168
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
Let $G$ be the simplest nilpotent Lie group of step 3. We prove that the densities of the semigroup generated by the sublaplacian on $G$ are not real-analytic.
Keywords:
simplest nilpotent lie group step prove densities semigroup generated sublaplacian real analytic
Affiliations des auteurs :
Jacek Zienkiewicz 1
@article{10_4064_cm97_2_3,
author = {Jacek Zienkiewicz},
title = {Note on analytic regularity of heat kernels
on nilpotent {Lie} groups},
journal = {Colloquium Mathematicum},
pages = {163--168},
year = {2003},
volume = {97},
number = {2},
doi = {10.4064/cm97-2-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm97-2-3/}
}
Jacek Zienkiewicz. Note on analytic regularity of heat kernels on nilpotent Lie groups. Colloquium Mathematicum, Tome 97 (2003) no. 2, pp. 163-168. doi: 10.4064/cm97-2-3
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