Solvability of second-order left-invariant differential operators on the Heisenberg group

Ricci, Fulvio

Ricci, Fulvio

Journées équations aux dérivées partielles, (2000), p. 1-10 / Harvested from Numdam

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Résumé

We present some recent results, obtained jointly with Detlef Müller, on solvability of operators of the form $\sum_{j, k = 1}^{2 n} a_{j k} V_{j} V_{k} + i α U$ where the $V_{j}$ are left-invariant vector fields on the Heisenberg group, such that $[V_{j}, V_{j + n}] = U$ ( $1 \leq j \leq n$ ) are the only nontrivial relations, and $A = (a_{j k})$ is a complex symmetric matrix with semi-definite real part. The presentation also contains references on the work done in the past few years in this area.

Publié le : 2000-01-01

MR 2002c:22018 | Zbl 01808705

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     author = {Ricci, Fulvio},
     title = {Solvability of second-order left-invariant differential operators on the Heisenberg group},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {2000},
     pages = {1-10},
     mrnumber = {2002c:22018},
     zbl = {01808705},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEDP_2000____A15_0}
}

Ricci, Fulvio. Solvability of second-order left-invariant differential operators on the Heisenberg group. Journées équations aux dérivées partielles,  (2000), pp. 1-10. http://gdmltest.u-ga.fr/item/JEDP_2000____A15_0/

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