@article{ASNSP_1978_4_5_2_327_0, author = {Hill, C. Denson and Taiani, Geraldine}, title = {Families of analytic discs in $\mathbf {C}^n$ with boundaries on a prescribed $CR$ submanifold}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {327--380}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 5}, number = {2}, year = {1978}, zbl = {0399.32008}, mrnumber = {501906}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1978_4_5_2_327_0/} }
TY - JOUR AU - Hill, C. Denson AU - Taiani, Geraldine TI - Families of analytic discs in $\mathbf {C}^n$ with boundaries on a prescribed $CR$ submanifold JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1978 DA - 1978/// SP - 327 EP - 380 VL - Ser. 4, 5 IS - 2 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1978_4_5_2_327_0/ UR - https://zbmath.org/?q=an%3A0399.32008 UR - https://www.ams.org/mathscinet-getitem?mr=501906 LA - en ID - ASNSP_1978_4_5_2_327_0 ER -
Hill, C. Denson; Taiani, Geraldine. Families of analytic discs in $\mathbf {C}^n$ with boundaries on a prescribed $CR$ submanifold. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 5 (1978) no. 2, pp. 327-380. http://www.numdam.org/item/ASNSP_1978_4_5_2_327_0/
[1] Complexes of differential operators. The Mayer-Vietoris sequence, Inventiones Math., 35 (1976), pp. 43-86. | Zbl 0332.58016
- - - ,[2] The elements of real analysis, John Wiley and Sons, New York, 1964. | MR 393369
,[3] Differentiable manifolds in complex Euclidean space, Duke Math. J., (1965), pp. 1-22. | MR 200476 | Zbl 0154.08501
,[4] Methods of mathematical physics, Vol. II, Interscience Publishers, New York, 1962. | MR 65391 | Zbl 0099.29504
- ,[5] The maximum modulus principle. - I: Necessary conditions, Indiana Univ. Math. J., 25 (1976), pp. 709-717. | MR 590086 | Zbl 0336.32013
- - ,[6] Cauchy-Riemann equations in several variables, Ann. Scuola Norm. Sup. Pisa, 22 (1968), pp. 275-314. | Numdam | MR 237816 | Zbl 0159.37502
,[7] A Kontinuitätssatz for ∂M and Lewy extendibility, Indiana Univ. Math. J., 22 (1972), pp. 339-347. | Zbl 0247.32009
,[8] Hyperf-unction cohomology classes and their boundary values, Ann. Scuola Norm. Sup. Pisa, 4 (1977), pp. 577-597. | Numdam | MR 467847 | Zbl 0367.46037
- ,[9] Banach spaces of analytic functions, Prentice-Hall, Englewood Cliffs, N. J., 1962. | MR 133008 | Zbl 0117.34001
,[10] An introduetion to complex analysis in several variables, Van Nostrand, Princeton, N. J., 1966. | MR 203075 | Zbl 0138.06203
,[11] Extensions of CR-functions, Amer. J. Math., 98 (1976), pp. 805-820. | MR 432913 | Zbl 0334.32014
- ,[12] On the local character of the solutions of an atypical linear differential equation in three variables and a related theorem for regular functions of two complex variables, Ann. Math., 64 (1956), pp. 514-522. | MR 81952 | Zbl 0074.06204
,[13] An example of a smooth linear partial differential equation without solution, Ann. Math., 66 (1957), pp. 155-158. | MR 88629 | Zbl 0078.08104
,[14] On hulls of holomorphy, Comm. Pure Appl. Math., 13 (1960), pp. 587-591. | MR 150339 | Zbl 0113.06102
,[15] Strong derivatives and inverse mappings, Amer. Math. Monthly, 81 (1974), pp. 969-980. | MR 360958 | Zbl 0296.58002
,[16] On the H. Lewy extension phenomenon, Trans. Amer. Math. Soc., 168 (1972), pp. 337-356. | MR 301234 | Zbl 0241.32006
,[17] On a generalization of the concept of functions, Proc. Japan Acad., 34 (1958), pp. 126-130 and 604-608. | MR 96122
,[18] Theory of hyperfunctions, J. Fac. Sci., Univ. Tokyo, Sect. I, 8 (1959-60), pp. 139-193 and 387-436. | MR 114124 | Zbl 0087.31402
,[19] Microfunctions and pseudodifferential equations, in Hyperfunctions and pseudodifferential equations, Lecture Notes in Math., 287 (1973), pp. 265-529. | MR 420735 | Zbl 0277.46039
- - ,[20] Théorie des hyperfonctions, Lecture Notes in Math., 126 (1970). | MR 270151 | Zbl 0192.47305
,[21] On holomorphic extension from real submanifolds of complex Euclidean space, Ph. D. Thesis, M.I.T., Cambridge, Mass., 1966.
,[22] On the local holomorphic hull of a real submanifold in several complex variables, Comm. Pure Appl. Math., 19 (1966), pp. 145-165. | MR 197785 | Zbl 0142.33901
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