On the relative fundamental solutions for a second order differential operator on the Heisenberg group

T. Godoy, and L. Saal. "On the relative fundamental solutions for a second order differential operator on the Heisenberg group." Studia Mathematica 145.2 (2001): 143-164. <http://eudml.org/doc/286506>.

@article{T2001,
abstract = {Let Hₙ be the (2n+1)-dimensional Heisenberg group, let p,q ≥ 1 be integers satisfying p+q=n, and let $L = ∑_\{j=1\}^\{p\} (X²_\{j\} + Y²_\{j\}) -∑_\{j=p+1\}^\{n\} (X²_\{j\} + Y²_\{j\})$, where X₁,Y₁,...,Xₙ,Yₙ,T denotes the standard basis of the Lie algebra of Hₙ. We compute explicitly a relative fundamental solution for L.},
author = {T. Godoy, L. Saal},
journal = {Studia Mathematica},
keywords = {fundamental solutions; second order differential operator; Lie algebra; Heisenberg group; Hermite temporal distributions; spectral decomposition},
language = {eng},
number = {2},
pages = {143-164},
title = {On the relative fundamental solutions for a second order differential operator on the Heisenberg group},
url = {http://eudml.org/doc/286506},
volume = {145},
year = {2001},
}

TY - JOUR
AU - T. Godoy
AU - L. Saal
TI - On the relative fundamental solutions for a second order differential operator on the Heisenberg group
JO - Studia Mathematica
PY - 2001
VL - 145
IS - 2
SP - 143
EP - 164
AB - Let Hₙ be the (2n+1)-dimensional Heisenberg group, let p,q ≥ 1 be integers satisfying p+q=n, and let $L = ∑_{j=1}^{p} (X²_{j} + Y²_{j}) -∑_{j=p+1}^{n} (X²_{j} + Y²_{j})$, where X₁,Y₁,...,Xₙ,Yₙ,T denotes the standard basis of the Lie algebra of Hₙ. We compute explicitly a relative fundamental solution for L.
LA - eng
KW - fundamental solutions; second order differential operator; Lie algebra; Heisenberg group; Hermite temporal distributions; spectral decomposition
UR - http://eudml.org/doc/286506
ER -