00-34   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Detlef Müller, Fulvio Ricci:

Solvability of second-order left-invariant differential operators on the Heisenberg group satisfying a cone condition

We discuss local solvability of operators of the form
\sum_{j,k=1}^{2n} a_{jk} V_j V_k + i \alpha U
where the $V_j$ are left-invariant vector fields on the Heisenberg group, such that $[V_j, V_{j+n}]=U$ for $1\le j\le n$, and $A = (a_{jk}) = A_1 + i A_2$ is a complex symmetric matrix satysfying the cone condition $ !A_2! \le CA_1$.

Mathematics Subject Classification (1991): 35A05, 43A80

Bibliographical note: erscheint in Journal d'Analyse Math

Mail an Jens Burmeister
[Thu Feb 19 18:56:35 2009]
Impressum