Analyticity of relative fundamental solutions and projections for left invariant operators on the Heisenberg group
Rothschild, Linda Preiss ; Tartakoff, David S.
Annales scientifiques de l'École Normale Supérieure, Tome 15 (1982), p. 419-440 / Harvested from Numdam
@article{ASENS_1982_4_15_3_419_0,
     author = {Rothschild, Linda Preiss and Tartakoff, David S.},
     title = {Analyticity of relative fundamental solutions and projections for left invariant operators on the Heisenberg group},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     volume = {15},
     year = {1982},
     pages = {419-440},
     doi = {10.24033/asens.1432},
     mrnumber = {84d:22017},
     zbl = {0531.35011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ASENS_1982_4_15_3_419_0}
}
Rothschild, Linda Preiss; Tartakoff, David S. Analyticity of relative fundamental solutions and projections for left invariant operators on the Heisenberg group. Annales scientifiques de l'École Normale Supérieure, Tome 15 (1982) pp. 419-440. doi : 10.24033/asens.1432. http://gdmltest.u-ga.fr/item/ASENS_1982_4_15_3_419_0/

[1] R. Beals and P. Greiner, In preparation.

[2] D. Geller, Fourier Analysis on the Heisenberg Group II: Local Solvability and Homogeneous distributions (Comm. in P.D.E., Vol. 5, No 5, 1980, pp. 475-560). | MR 81i:35004 | Zbl 0488.22020

[3] R. Goodman, Nilpotent Lie groups: Structure and Applications to Analysis (Lecture Notes in Math., Vol. 562, Springer-Verlag, 1976). | MR 56 #537 | Zbl 0347.22001

[4] P. Greiner, J. J. Kohn and E. M. Stein, Necessary and Sufficient Conditions for Local Solvability of the Lewy Equation (Proc. Natl. Acad. Sc. U.S.A., Vol. 72, No. 9, 1975, pp. 3287-3289). | MR 52 #1043 | Zbl 0308.35017

[5] V. V. Grusin, On a Class of Hypoelliptic Operators (Math. Sb., Vol. 83, 185, 1970, No. 3, pp. 456-473); Math. U.S.S.R. Sb., Vol. 12, No. 3, 1972, pp. 458-476. | MR 43 #5158 | Zbl 0252.35057

[6] B. Helffer and J. Nourrigat, Hypoellipticité pour des groupes nilpotents de rang 3 (Comm. in P.D.E., Vol. 3, 1978, pp. 643-743). | MR 81d:35016 | Zbl 0385.35015

[7] L. Hormander, Linear Partial Differential Operators, New York, 1969. | MR 40 #1687 | Zbl 0175.39201

[8] A. A. Kirillov, Unitary Representations of Nilpotent Lie groups, (Usp. Math. Nauk 17, 1962, pp. 57-110, Russian Math. Surveys, Vol. 17, 1962, pp. 53-104). | MR 25 #5396 | Zbl 0106.25001

[9] G. Lion, Hypoellipticité et résolubitité d'opérateurs différentiels sur des groupes nilpotents de rang 2 (C. R. Acad. Sc., Paris, T. 290, 1980, pp. 271-274). | MR 81a:58045 | Zbl 0434.35026

[10] A. Melin, Parametrix Constructions for Some Classes of Right-Invariant Differential Operators on the Heisenberg Group, (to appear).

[11] G. Métivier, Hypoellipticité analytique sur des groupes nilpotents de rang 2 (Duke Math. J., Vol. 47, 1980, pp. 195-221). | MR 81i:35037 | Zbl 0433.35015

[12] E. Nelson, Analytic Vectors (Ann. of Math., Vol. 70, No. 3, 1959, pp. 572-615). | MR 21 #5901 | Zbl 0091.10704

[13] L. Pukanszky, Leçons sur les représentations des groupes; Paris, 1967. | MR 36 #311 | Zbl 0152.01201

[14] C. Rockland, Hypoellipticity on the Heisenberg Group, (Trans. Amer. Math. Soc., Vol. 240, No. 517, 1978, pp. 1-52). | MR 58 #6071 | Zbl 0326.22007

[15] L. P. Rothschild and D. S. Tartakoff, Inversion of Analytic Matrices and Local Solvability of Some Invariant Differential Operators on Nilpotent Lie Groups (Comm. in P.D.E. 6 (6) 1981, pp. 625-650.) | MR 84g:22026 | Zbl 0477.58032

[16] D. S. Tartakoff, The Local Real Analyticity of Solutions to ☐b and the ∂-Neumann Problem (Acta Mathematica, Vol. 145, 1980, pp. 177-204). | MR 81k:35033 | Zbl 0456.35019

[17] D. S. Tartakoff, Local Analytic Hypoellipticity for ☐b on Non-Degenerate Cauchy-Riemann Manifolds (Proc. Nat. Acad. Sc., U.S.A., Vol. 75, 1978, pp. 3027-3028). | MR 80g:58045 | Zbl 0384.35020

[18] F. Trèves, Analytic Hypo-Ellipticy of a Class of Pseudo-Differential Operators with Double Characteristics and Applications to the ∂-Neumann Problem (Comm. in P.D.E., Vol. 3, 1978, pp. 475-642). | MR 58 #11867 | Zbl 0384.35055