@incollection{JEDP_1981____A9_0, author = {Linda P. Rothschild and David S. Tartakoff}, title = {Analyticity for certain solutions of non-hypoelliptic differential operators on the {Heisenberg} group}, booktitle = {}, 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 = {https://proceedings.centre-mersenne.org/item/JEDP_1981____A9_0/} }
TY - JOUR AU - Linda P. Rothschild AU - David S. Tartakoff TI - Analyticity for certain solutions of non-hypoelliptic differential operators on the Heisenberg group JO - Journées équations aux dérivées partielles PY - 1981 SP - 1 EP - 4 PB - École polytechnique UR - https://proceedings.centre-mersenne.org/item/JEDP_1981____A9_0/ LA - en ID - JEDP_1981____A9_0 ER -
%0 Journal Article %A Linda P. Rothschild %A David S. Tartakoff %T Analyticity for certain solutions of non-hypoelliptic differential operators on the Heisenberg group %J Journées équations aux dérivées partielles %D 1981 %P 1-4 %I École polytechnique %U https://proceedings.centre-mersenne.org/item/JEDP_1981____A9_0/ %G en %F JEDP_1981____A9_0
Linda P. Rothschild; David S. Tartakoff. Analyticity for certain solutions of non-hypoelliptic differential operators on the Heisenberg group. Journées équations aux dérivées partielles (1981), article no. 9, 4 p. https://proceedings.centre-mersenne.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[1] R. Beals and P. Greiner, (unpublished).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