Elementary proofs of analytic hypoellipticity for □ b and the ∂ ¯ - Neumann problem
Analytic solutions of partial differential equations - Trento, 1981, Astérisque, no. 89-90 (1981), pp. 85-116. 
@incollection{AST_1981__89-90__85_0,
     author = {Tartakoff, D. S.},
     title = {Elementary proofs of analytic hypoellipticity for $\square_b$ and the $\overline \partial$ - {Neumann} problem},
     booktitle = {Analytic solutions of partial differential equations - Trento, 1981},
     series = {Ast\'erisque},
     pages = {85--116},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {89-90},
     year = {1981},
     mrnumber = {666404},
     zbl = {0497.35023},
     language = {en},
     url = {http://archive.numdam.org/item/AST_1981__89-90__85_0/}
}
TY  - CHAP
AU  - Tartakoff, D. S.
TI  - Elementary proofs of analytic hypoellipticity for $\square_b$ and the $\overline \partial$ - Neumann problem
BT  - Analytic solutions of partial differential equations - Trento, 1981
AU  - Collectif
T3  - Astérisque
PY  - 1981
SP  - 85
EP  - 116
IS  - 89-90
PB  - Société mathématique de France
UR  - http://archive.numdam.org/item/AST_1981__89-90__85_0/
LA  - en
ID  - AST_1981__89-90__85_0
ER  - 
%0 Book Section
%A Tartakoff, D. S.
%T Elementary proofs of analytic hypoellipticity for $\square_b$ and the $\overline \partial$ - Neumann problem
%B Analytic solutions of partial differential equations - Trento, 1981
%A Collectif
%S Astérisque
%D 1981
%P 85-116
%N 89-90
%I Société mathématique de France
%U http://archive.numdam.org/item/AST_1981__89-90__85_0/
%G en
%F AST_1981__89-90__85_0
Tartakoff, D. S. Elementary proofs of analytic hypoellipticity for $\square_b$ and the $\overline \partial$ - Neumann problem, dans Analytic solutions of partial differential equations - Trento, 1981, Astérisque, no. 89-90 (1981), pp. 85-116. http://archive.numdam.org/item/AST_1981__89-90__85_0/

[1] K. G. Anderson, Propagation of analyticity of solutions of partial differential équations with constant coefficients, Ark for Matematik, 8 (1970), pp. 277-302. | DOI | MR | Zbl

[2] M. S. Baouendi and C. Goulaouic, Non analytic-hypoellipticity for some degenerate operators, Bull. Amer. Math. Soc. 78 (1972), p. 483. | DOI | MR | Zbl

[3] R. Beals, Séminaire Goulaouic-Schwartz 1976-77, exposé 19.

[4] L. Boutet De Monvel, A. Grigis and B. Helffer, Paramétrixes d'opérateurs pseudodifférentiels à caractéristiques multiples, S.M.F. Astérisque 34-35 (1976) pp. 93-121. | EuDML | MR | Zbl

[5] L. Boutet De Monvel and P. Kree, Pseudo-differential operators and Gevrey classes, Ann. Inst. Fourier Grenoble, 17 (1967), pp. 295-323. | DOI | EuDML | Numdam | MR | Zbl

[6] L. Corwin and L. P. Rothschild, Necessary conditions for local solvability of homogeneous left invariant differential operators on nilpotent groups, (preprint). | DOI | MR | Zbl

[7] P. Greiner, J. J. Kohn and E. Stein, Necessary and sufficient conditions for solvability of the Lewy équation, Proc. Nat. Acad. Sci. U.S.A. 72 (1975), pp. 3287-3289. | DOI | MR | Zbl

[8] B. Helffer and J. Nourrigat, Hypoellipticité pour des groupes nilpotents de rang de nilpotence 3, Comm. in P.D.E., III (8) (1978), pp. 643-743. | DOI | EuDML | MR | Zbl

[9] D. Geller, Local solvability and homogeneous distributions on the Heisenberg group, Comm. in P.D.E. V (5) (1980), pp. 475-560. | DOI | MR | Zbl

[10] G. Métivier, Une classe d'opérateurs non hypoélliptiques analytiques, Indiana J. of Math., (to appear). | MR | Zbl

[11] G. Métivier, Analytic hypoellipticity for operators with multiple characteristics, Comm. in P.D.E., VI (I) 1981, pp. 1-90. | MR | Zbl

[12] M. Sato, T. Kawai and M. Kashiwara, Hyperfunctions and pseudodifferential équations, Lect. Notes in Math., 287 (1973) Springer, pp. 265-529. | MR | Zbl

[13] J. Sjostrand, Parametrices for pseudodifferential operators with multiple characteristics, Arkiv för Mat. 12 (1974), Bibliography (cont'd). | DOI | MR | Zbl

[14] D. S. Tartakoff, Gevrey hypoellipticity for subelliptic boundary value problems, Comm. Pure Appl. Math., 26 (1973), pp. 251-312. | DOI | MR | Zbl

[15] D. S. Tartakoff, Local Gevrey and quasianalytic hypoellipticity for □ b , Bull. Amer. Math. Soc, 82 (1976), pp. 740-742. | DOI | MR | Zbl

[16] D. S. Tartakoff, Local analytic hypoellipticity for □ b on nondegenerate Cauchy-Riemann manifolds, Proc. Nat. Acad. Sci. U.S.A., 75 (1978), pp. 3027-3028. | DOI | MR | Zbl

[17] D. S. Tartakoff, The local real analyticity of solutions to □ b and the ∂ ¯-Neumann problem, Acta Math., 145 (1980), pp. 177-204. | DOI | MR | Zbl

[18] F. Trèves, Analytic hypoellipticity of a class of pseudo-differential operators, Comm. in Partial Diff. Equ. 3 (1978), pp. 475-642. | Zbl