Équations de Cauchy-Riemann tangentielles associées à un domaine de Siegel

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1. [1] L. AUSLANDER and B. KOSTANT, Polarizations and Unitary Representations of Solvable Lie Groups, Invent. Math., vol. 14, 1971), p. 255-344). Zbl0233.22005MR45 #2092
2. [1 bis] V. BARGMANN, On a Hilbert Space of Analytic Functions and on Associated Integral Transform (Comm. in Pure and Appl. Math., vol. 14, 1961, p. 187-214). Zbl0107.09102MR28 #486
3. [2] P. BERNAT et co-auteurs, Représentations des groupes de Lie résolubles, Dunod, Paris, 1972. Zbl0248.22012MR56 #3183
4. [3] G. FOLLAND and J. J. KOHN, The Neumann Problem for the Cauchy-Riemann Complex (Ann. of Math. Studies, n° 75, Princeton University Press, Princeton, 1972). Zbl0247.35093MR57 #1573
5. [4] S. GREENFIELD, Cauchy-Riemann Equations in Several Variables (Ann. S.N.S., Pisa, (3), vol. 22, 1968, p. 275-314). Zbl0159.37502MR38 #6097
6. [5] L. R. HUNT and R. O. WELLS, Extensions of C. R. Functions, Preprint, 1974. 
7. [6] S. KANEYUKI, Homogeneous Bounded Domains and Siegel Domains (Lecture Notes in Math., n° 241, Springer-Verlag, Berlin, 1971). Zbl0241.32011MR49 #3231
8. [7] J. J. KOHN, Boundaries of Complex Manifolds (Proc. Conf. Complex Analysis, University of Minnesota Press, 1964). Zbl0166.36003
9. [8] A. KORANYI and E. STEIN, H2 Spaces of Generalized Half-Planes (Studia Mathematica, vol. 44, 1972, p. 379-388). Zbl0224.32004MR55 #8421
10. [9] A. KORANYI and J. WOLF, Realization of Hermition symmetric Spaces as Generalized Half-Planes (Ann. of Math., vol. 81, 1965, p. 265-288). Zbl0137.27402MR30 #4980
11. [10] H. LEWY, 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). Zbl0074.06204MR18,473b
12. [11] C. C. MOORE, Compactification of Symmetric Spaces II (Amer. J. Math., vol. 86, 1964, p. 358-378). Zbl0156.03202MR28 #5147
13. [12] OGDEN and S. VAGI, Harmonic Analysis and H2 functions on Siegel Domains of type II (Proc. Nat. Acad. Sci., U.S.A., 69, 1972, p. 11-14). Zbl0239.43009MR46 #5946
14. [13] H. ROSSI and M. VERGNE, (a) 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.). Zbl0356.32020MR53 #10989
15. [14] I. I. PIATECKII-SAPIRO, Geometry of Classical Domains and the Theory of Automorphic Functions, Fitzmatgiz, Moscou, 1961, Dunod, Paris, 1966, Gordon and Breach, New York, 1969. Zbl0142.05101
16. [15] E. STEIN, Boundary Behavior of Holomorphic Functions of Several Complex Variables (Mathematical Notes, Princeton University Press, 1972). Zbl0242.32005MR57 #12890
17. [16] S. VAGI, On the Boundary Values of Holomorphic Functions (Rev. Un. Mat. Argentina, vol. 25, 1970, p. 123-136). Zbl0248.32022MR47 #7343
18. [17] M. VERGNE, Étude de certaines représentations induites d'un groupe de Lie résoluble exponentiel (Annn. scient. Éc. Norm. Sup., vol. 3, 1970, p. 353-384). Zbl0221.22014MR43 #4966
19. [18] R. O. WELLS, Function Theory and Differentiable Submanifolds, Contributions to Analysis (ed. AHLFORS et coll.) Academic Press, Inc. 1974, p. 407-441. Zbl0293.32001MR50 #10322
20. [19] H. WEYL, Orthogonal Projection in Potential Theory (Duke Math. J. vol. 7, 1970, p. 411-444). Zbl0026.02001MR2,202aJFM66.0444.01

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