Analyticity for certain solutions of non-hypoelliptic differential operators on the Heisenberg group
Journées équations aux dérivées partielles (1981), article no. 9, 4 p. 
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     author = {Rothschild, Linda P. and Tartakoff, David S.},
     title = {Analyticity for certain solutions of non-hypoelliptic differential operators on the {Heisenberg} group},
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     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {9},
     pages = {1--4},
     publisher = {Ecole polytechnique},
     year = {1981},
     zbl = {0478.58039},
     language = {en},
     url = {http://www.numdam.org/item/JEDP_1981____A9_0/}
}
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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), article  no. 9, 4 p. http://www.numdam.org/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[1] R. Beals and P. Greiner, (unpublished).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 | Zbl

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

[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 | Zbl

[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 | Zbl

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

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

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

[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

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