Fundamental Solutions of Kohn Sub-Laplacians on Anisotropic Heisenberg Groups and H-type Groups
Canadian mathematical bulletin, Tome 54 (2011) no. 1, pp. 126-140
Voir la notice de l'article provenant de la source Cambridge
We prove that the fundamental solutions of Kohn sub-Laplacians $\Delta +i\alpha {{\partial }_{t}}$ on the anisotropic Heisenberg groups are tempered distributions and have meromorphic continuation in α with simple poles. We compute the residues and find the partial fundamental solutions at the poles. We also find formulas for the fundamental solutions for some matrix-valued Kohn type sub-Laplacians on $\text{H}$ -type groups.
Jin, Yongyang; Zhang, Genkai. Fundamental Solutions of Kohn Sub-Laplacians on Anisotropic Heisenberg Groups and H-type Groups. Canadian mathematical bulletin, Tome 54 (2011) no. 1, pp. 126-140. doi: 10.4153/CMB-2010-086-1
@article{10_4153_CMB_2010_086_1,
author = {Jin, Yongyang and Zhang, Genkai},
title = {Fundamental {Solutions} of {Kohn} {Sub-Laplacians} on {Anisotropic} {Heisenberg} {Groups} and {H-type} {Groups}},
journal = {Canadian mathematical bulletin},
pages = {126--140},
year = {2011},
volume = {54},
number = {1},
doi = {10.4153/CMB-2010-086-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-086-1/}
}
TY - JOUR AU - Jin, Yongyang AU - Zhang, Genkai TI - Fundamental Solutions of Kohn Sub-Laplacians on Anisotropic Heisenberg Groups and H-type Groups JO - Canadian mathematical bulletin PY - 2011 SP - 126 EP - 140 VL - 54 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-086-1/ DO - 10.4153/CMB-2010-086-1 ID - 10_4153_CMB_2010_086_1 ER -
%0 Journal Article %A Jin, Yongyang %A Zhang, Genkai %T Fundamental Solutions of Kohn Sub-Laplacians on Anisotropic Heisenberg Groups and H-type Groups %J Canadian mathematical bulletin %D 2011 %P 126-140 %V 54 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-086-1/ %R 10.4153/CMB-2010-086-1 %F 10_4153_CMB_2010_086_1
Cité par Sources :