Note on analytic regularity of heat kernels on nilpotent Lie groups

Jacek Zienkiewicz. "Note on analytic regularity of heat kernels on nilpotent Lie groups." Colloquium Mathematicae 97.2 (2003): 163-168. <http://eudml.org/doc/285363>.

@article{JacekZienkiewicz2003,
abstract = {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.},
author = {Jacek Zienkiewicz},
journal = {Colloquium Mathematicae},
keywords = {heat kernel; nilpotent Lie group; sub-Laplacian},
language = {eng},
number = {2},
pages = {163-168},
title = {Note on analytic regularity of heat kernels on nilpotent Lie groups},
url = {http://eudml.org/doc/285363},
volume = {97},
year = {2003},
}

TY - JOUR
AU - Jacek Zienkiewicz
TI - Note on analytic regularity of heat kernels on nilpotent Lie groups
JO - Colloquium Mathematicae
PY - 2003
VL - 97
IS - 2
SP - 163
EP - 168
AB - 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.
LA - eng
KW - heat kernel; nilpotent Lie group; sub-Laplacian
UR - http://eudml.org/doc/285363
ER -