@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}, pages = {419--440}, publisher = {Elsevier}, volume = {Ser. 4, 15}, number = {3}, year = {1982}, doi = {10.24033/asens.1432}, mrnumber = {84d:22017}, zbl = {0531.35011}, language = {en}, url = {http://www.numdam.org/articles/10.24033/asens.1432/} }
TY - JOUR AU - Rothschild, Linda Preiss AU - Tartakoff, David S. TI - Analyticity of relative fundamental solutions and projections for left invariant operators on the Heisenberg group JO - Annales scientifiques de l'École Normale Supérieure PY - 1982 SP - 419 EP - 440 VL - 15 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.24033/asens.1432/ DO - 10.24033/asens.1432 LA - en ID - ASENS_1982_4_15_3_419_0 ER -
%0 Journal Article %A Rothschild, Linda Preiss %A Tartakoff, David S. %T Analyticity of relative fundamental solutions and projections for left invariant operators on the Heisenberg group %J Annales scientifiques de l'École Normale Supérieure %D 1982 %P 419-440 %V 15 %N 3 %I Elsevier %U http://www.numdam.org/articles/10.24033/asens.1432/ %R 10.24033/asens.1432 %G en %F 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, Série 4, Tome 15 (1982) no. 3, pp. 419-440. doi : 10.24033/asens.1432. http://www.numdam.org/articles/10.24033/asens.1432/
[1]
and , In preparation.[2] 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 | Zbl
,[3] Nilpotent Lie groups: Structure and Applications to Analysis (Lecture Notes in Math., Vol. 562, Springer-Verlag, 1976). | MR | Zbl
,[4] 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 | Zbl
, and ,[5] 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 | Zbl
,[6] Hypoellipticité pour des groupes nilpotents de rang 3 (Comm. in P.D.E., Vol. 3, 1978, pp. 643-743). | MR | Zbl
and ,[7] Linear Partial Differential Operators, New York, 1969. | MR | Zbl
,[8] Unitary Representations of Nilpotent Lie groups, (Usp. Math. Nauk 17, 1962, pp. 57-110, Russian Math. Surveys, Vol. 17, 1962, pp. 53-104). | MR | Zbl
,[9] 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 | Zbl
,[10] Parametrix Constructions for Some Classes of Right-Invariant Differential Operators on the Heisenberg Group, (to appear).
,[11] Hypoellipticité analytique sur des groupes nilpotents de rang 2 (Duke Math. J., Vol. 47, 1980, pp. 195-221). | MR | Zbl
,[12] Analytic Vectors (Ann. of Math., Vol. 70, No. 3, 1959, pp. 572-615). | MR | Zbl
,[13] Leçons sur les représentations des groupes; Paris, 1967. | MR | Zbl
,[14] Hypoellipticity on the Heisenberg Group, (Trans. Amer. Math. Soc., Vol. 240, No. 517, 1978, pp. 1-52). | MR | Zbl
,[15] 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 | Zbl
and ,[16] The Local Real Analyticity of Solutions to ☐b and the ∂-Neumann Problem (Acta Mathematica, Vol. 145, 1980, pp. 177-204). | MR | Zbl
,[17] 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 | Zbl
,[18] 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 | Zbl
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