Analyticity for certain solutions of non-hypoelliptic differential operators on the Heisenberg group
Rothschild, Linda P. ; Tartakoff, David S.
Journées équations aux dérivées partielles, (1981), p. 1-4 / Harvested from Numdam
Publié le : 1981-01-01
@article{JEDP_1981____A9_0,
     author = {Rothschild, Linda Preiss and Tartakoff, David S.},
     title = {Analyticity for certain solutions of non-hypoelliptic differential operators on the Heisenberg group},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {1981},
     pages = {1-4},
     zbl = {0478.58039},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEDP_1981____A9_0}
}
Rothschild, Linda P.; Tartakoff, David S. Analyticity for certain solutions of non-hypoelliptic differential operators on the Heisenberg group. Journées équations aux dérivées partielles,  (1981), pp. 1-4. http://gdmltest.u-ga.fr/item/JEDP_1981____A9_0/

[1] R. Beals and P. Greiner, (unpublished).

[2] G. Folland E. M. Stein, “Estimates for the ∂b -complex and analysis on the Heisenberg group”, Comm. Pure Appl. Math 27 (1974) 429-522. | MR 51 #3719 | Zbl 0293.35012

[3] D. Geller, “Local solvability and homogeneous distributions on the Heisenberg group”, Comm. P.D.E. 5 (5), (1980) 475-560. | MR 81i:35004 | Zbl 0488.22020

[4] P. Greiner, J. J. Kohn, and E. M. Stein, “Necessary and sufficient conditions for solvability of the Lewy equation”, Proc. Nat. Acad. Sci. 72, (9) (1975) 3287-3289. | MR 52 #1043 | Zbl 0308.35017

[5] B. Helffer et J. Nourrigat, “Caractérisation des opérateurs hypoélliptiques homogènes invariants à gauche sur une groups de Lie graduée”, Comm. P.D.E. 4 (8) (1979) 899-958. | MR 81i:35034 | Zbl 0423.35040

[6] A. Melin, “Parametrix constructions for some classes of right-invariant differential operators on the Heisenberg group” (preprint). | Zbl 0486.35007

[7] G. Métivier, “Hypoéllipticité analytique sur les groupes nilpotents de rang 2”, Duke Math. J. 47, 1, (1980) 195-221. | MR 81i:35037 | Zbl 0433.35015

[8] C. Rockland, “Hypoellipticity on the Heisenberg group : representation-theoretic criteria” Trans. Amer. Math. Soc. 240 (1978) 1-52. | MR 58 #6071 | Zbl 0326.22007

[9] D. Tartakoff, “The analytic hypoellipticity of ∂b and related operators on non-degenerate C-R manifolds”, Acta Math. 145, (3-4), (1980) 177-203. | MR 81k:35033

[10] F. Trèves, “Analytic hypoellipticity of a class of pseudodifferential operators”, Comm. P.D.E. 3 (1978) 475-642. | MR 58 #11867 | Zbl 0384.35055