@article{ASNSP_1968_3_22_2_275_0, author = {Greenfield, S. J.}, title = {Cauchy-Riemann equations in several variables}, journal = {Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche}, pages = {275--314}, publisher = {Scuola normale superiore}, volume = {Ser. 3, 22}, number = {2}, year = {1968}, mrnumber = {237816}, zbl = {0159.37502}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1968_3_22_2_275_0/} }
TY - JOUR AU - Greenfield, S. J. TI - Cauchy-Riemann equations in several variables JO - Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche PY - 1968 SP - 275 EP - 314 VL - 22 IS - 2 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1968_3_22_2_275_0/ LA - en ID - ASNSP_1968_3_22_2_275_0 ER -
%0 Journal Article %A Greenfield, S. J. %T Cauchy-Riemann equations in several variables %J Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche %D 1968 %P 275-314 %V 22 %N 2 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1968_3_22_2_275_0/ %G en %F ASNSP_1968_3_22_2_275_0
Greenfield, S. J. Cauchy-Riemann equations in several variables. Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche, Série 3, Tome 22 (1968) no. 2, pp. 275-314. http://www.numdam.org/item/ASNSP_1968_3_22_2_275_0/
[1] Généralisation du théorème de Runge pour les fonctions multiformes de variablescomplexes, Colloque sur les Fonctions de Plusieurs Variables, (Brussels, 1953). | Zbl
,[2] Differentiable manifolds in complex Euclidean space, Duke Math. J., (1965), 1-22. | MR | Zbl
[3] », A minimal boundary for function algebras, Pacific J. Math., 9 (1959), 629-642. | MR
[4] Several Complex Variables (Princeton University Press, 1948). | MR | Zbl
, and ,[5] Die Characterisierung Rungescher Gebiete durch plurisubharmonische Funktionen, Math. Ann., 136 (1958), 173-186. | MR | Zbl
,[6] Extendibility properties of real submanifolds of Cn, to appear in the proceeding of the C.I.M.E. Summer Conferenoe on Bounded Homogeneous Domains, Urbino, 1967. | Zbl
,[7] Some global properties of contact structures, Ann. Math., 69 (1959), 421-450. | MR | Zbl
,[8] Analytic Functions of Several Complex Variables (Prentice-Hall, Inc. 1965). | MR | Zbl
, and ,[9] Convexity and pseudoconvexity for complex manifolds, 13 (1964), J. Math. Mech., 667-672. | MR | Zbl
,[10] » , Convexity and pseudoconvexity for complex manifolds, II, to appear.
[11] An Introduction to Complex Analysis in Several Variables, (D. Van Nostrand Company, Inc, 1966). | MR | Zbl
,[12], The Frobenius-Nirenberg theorem, Arkiv for Matematik, 5 (1964), 425-432. | MR
[13] On deformations of complex analytic structures, I, II, Ann. Math., 67 (1958), 328-466. | MR | Zbl
, and ,[14] Boundaries of complex manifolds, Proceedings of the Conference on Complex Analysis (Springer-Verlag New York Inc., 1965). | MR | Zbl
,[15] On the local character of the solution of an atypical linear differential equation in three variables and a related theorem for regular functions of two complex variables, Ann. Math., 64 (1956), 514-522. | MR | Zbl
,[16] » , On hulls of holomorphy, Comm. Pure Appl. Math., 13 (1960), 587-591. | MR | Zbl
[17] » Atypical partial differential equations, Proceedings of the Conference on Partial Differential Equations and Continuum Mechanics, (Univ. of Wisc. Press, 1961). | MR | Zbl
[18] Topology from the Differentiable Viewpoint, (Univ. Press of Virginia, 1965). | MR | Zbl
,[19] Complex analytic coordinates in almost complex manifolds, Ann. Math., 65 (1957), 391-404. | MR | Zbl
, and ,[20] A complex Frobenius theorem, Seminars on Analytic Functions (Institute for Advanced Study United States Air Force Office of Scientific Research, 1957). | Zbl
,[21] Holomorphic Approximation on Real Submanifolds of Complex Manifolds. A.M.S. May 1967. | Zbl
, and ,[22] Lie Groups and Differential Geometry (The Math. Soc. of Japan, 1956). | MR | Zbl
,[23] Trans. A.M.S.
, and , to appear[24] Holomorphically convex sets in several complex variables, Ann. Math., 74 (1961), 470-493. | MR | Zbl
,[25] Global Theroy of Several Complex Variables, lecture notes by Lutz Bungart (Princeton Univ. 1961).
,[26] » , report to appear in the Proceedings of the International Congress of Mathematicians (Moscow, 1966).
[27] On differentiable manifolds with certain structures which are closely related to almost contact structure, I, Tohoku Math, J., 12 (1960), 459-476. | MR | Zbl
,[28] Analytische Geometrie in Cn (Schriftenreihe des Mathematischen Instituts der Universität Münster Heft 11, 1957). | MR | Zbl
,[29] The Theory of Fiber Bundles (Princeton Univ. Press. 1951).
,[30]
, written communication.[31] Tracce delle funzioni olomorfe sulle sottovarietà analitiche reali d'una varietà complessa, Ann. della Sc. Norm. Sup. di Pisa, 20 (1966), 31-44. | Numdam | MR | Zbl
,[32] On Holomorphic Extension from Real Submanifolds of Complex Èuclidean Space (M.I.T thesis, 1966).
,[33] On the local holomorphic hull of a real submanifold in several complex, variables, Comm. Pure Appl. Math., 19 (1966), 145-165. | MR | Zbl
,[34] » Holomorphic approximation on real-analytic submanifolds of a complex manifold Proc. A.M.S., 17 (1966), 1272-1275. | MR | Zbl
[35] » Holomorphic hulls and holomorphic convexity of differentiable submanifolds. to appear Trans. A.M.S. | Zbl