@article{ASENS_1976_4_9_1_31_0, author = {Rossi, H. and Vergne, Mich\`ele}, title = {\'Equations de Cauchy-Riemann tangentielles associ\'ees \`a un domaine de Siegel}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, volume = {9}, year = {1976}, pages = {31-80}, doi = {10.24033/asens.1303}, mrnumber = {56 \#3364}, zbl = {0398.32018}, language = {fr}, url = {http://dml.mathdoc.fr/item/ASENS_1976_4_9_1_31_0} }
Rossi, H.; Vergne, M. Équations de Cauchy-Riemann tangentielles associées à un domaine de Siegel. Annales scientifiques de l'École Normale Supérieure, Tome 9 (1976) pp. 31-80. doi : 10.24033/asens.1303. http://gdmltest.u-ga.fr/item/ASENS_1976_4_9_1_31_0/
[1] Polarizations and Unitary Representations of Solvable Lie Groups, Invent. Math., vol. 14, 1971), p. 255-344). | MR 45 #2092 | Zbl 0233.22005
and ,[1 bis] On a Hilbert Space of Analytic Functions and on Associated Integral Transform (Comm. in Pure and Appl. Math., vol. 14, 1961, p. 187-214). | MR 28 #486 | Zbl 0107.09102
,[2] Représentations des groupes de Lie résolubles, Dunod, Paris, 1972. | MR 56 #3183 | Zbl 0248.22012
et co-auteurs,[3] The Neumann Problem for the Cauchy-Riemann Complex (Ann. of Math. Studies, n° 75, Princeton University Press, Princeton, 1972). | MR 57 #1573 | Zbl 0247.35093
and ,[4] Cauchy-Riemann Equations in Several Variables (Ann. S.N.S., Pisa, (3), vol. 22, 1968, p. 275-314). | Numdam | MR 38 #6097 | Zbl 0159.37502
,[5] Extensions of C. R. Functions, Preprint, 1974.
and ,[6] Homogeneous Bounded Domains and Siegel Domains (Lecture Notes in Math., n° 241, Springer-Verlag, Berlin, 1971). | MR 49 #3231 | Zbl 0241.32011
,[7] Boundaries of Complex Manifolds (Proc. Conf. Complex Analysis, University of Minnesota Press, 1964). | Zbl 0166.36003
,[8] H2 Spaces of Generalized Half-Planes (Studia Mathematica, vol. 44, 1972, p. 379-388). | MR 55 #8421 | Zbl 0224.32004
and ,[9] Realization of Hermition symmetric Spaces as Generalized Half-Planes (Ann. of Math., vol. 81, 1965, p. 265-288). | MR 30 #4980 | Zbl 0137.27402
and ,[10] On the Local Caracter of the Solution of an Atypical Linear Differential in Three Variables (Ann. of Math., (2), vol. 64, 1956, p. 514-522). | MR 18,473b | Zbl 0074.06204
,[11] Compactification of Symmetric Spaces II (Amer. J. Math., vol. 86, 1964, p. 358-378). | MR 28 #5147 | Zbl 0156.03202
,[12] Harmonic Analysis and H2 functions on Siegel Domains of type II (Proc. Nat. Acad. Sci., U.S.A., 69, 1972, p. 11-14). | MR 46 #5946 | Zbl 0239.43009
and ,[13] Representations of Certain Solvable Lie Groups on Hilbert Spaces of Holomorphic Functions and... (J. of Funct. Anal., vol. 13, 1973, p. 324-389) ; (b) Analytic Continuation of the Holomorphic Discrete Series of a Semi-Simple Lie Group (à paraître à Acta. Math.). | MR 53 #10989 | Zbl 0356.32020
and , (a)[14] Geometry of Classical Domains and the Theory of Automorphic Functions, Fitzmatgiz, Moscou, 1961, Dunod, Paris, 1966, Gordon and Breach, New York, 1969. | Zbl 0142.05101
,[15] Boundary Behavior of Holomorphic Functions of Several Complex Variables (Mathematical Notes, Princeton University Press, 1972). | MR 57 #12890 | Zbl 0242.32005
,[16] On the Boundary Values of Holomorphic Functions (Rev. Un. Mat. Argentina, vol. 25, 1970, p. 123-136). | MR 47 #7343 | Zbl 0248.32022
,[17] Étude de certaines représentations induites d'un groupe de Lie résoluble exponentiel (Annn. scient. Éc. Norm. Sup., vol. 3, 1970, p. 353-384). | Numdam | MR 43 #4966 | Zbl 0221.22014
,[18] Function Theory and Differentiable Submanifolds, Contributions to Analysis (ed. AHLFORS et coll.) Academic Press, Inc. 1974, p. 407-441. | MR 50 #10322 | Zbl 0293.32001
,[19] Orthogonal Projection in Potential Theory (Duke Math. J. vol. 7, 1970, p. 411-444). | JFM 66.0444.01 | MR 2,202a | Zbl 0026.02001
,