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Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen. (German) Zbl 0219.32013


MSC:

32M15 Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects)
32A40 Boundary behavior of holomorphic functions of several complex variables
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References:

[1] Bott, R.: Homogeneous vector bundles. Ann. Math.66, 203-248 (1967). · Zbl 0094.35701 · doi:10.2307/1969996
[2] Cartan, É.: Sur la détermination d’un système orthogonal complet dans un espace de Riemann symétrique clos. Rend. Circ. Math. Palermo53, 217-252 (1929). · doi:10.1007/BF03024106
[3] ?: Sur les domaines bornés homogènes de l’espace den variables complexes. Abh. Math. Sem. Univ. Hamburg11, 116-162 (1935). · Zbl 0011.12302 · doi:10.1007/BF02940719
[4] Harish-Chandra: Representations of semisimple Lie groups IV, V, VI. Amer. J. Math.77, 743-777 (1955);78, 1-41, 564-628 (1956). · Zbl 0066.35603 · doi:10.2307/2372596
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[7] Koecher, M.: Jordan algebras and their applications. Univ. of Minnesota, 1962 (vervielfältigt). · Zbl 0128.03101
[8] Koranyi, A., Wolf, J.: Realization of hermitian symmetric spaces as generalized half planes. Ann. Math.81, 265-288 (1965). · Zbl 0137.27402 · doi:10.2307/1970616
[9] Moore, C. C.: Compactifications of symmetric spaces II: the Cartan domains. Amer. J. Math.86, 358-378 (1964). · Zbl 0156.03202 · doi:10.2307/2373170
[10] Stiefel, E.: Kristallographische Bestimmung der Charaktere der geschlossenen Lie’schen Gruppen. Comment. Math. Helv.17, 165-200 (1944). · Zbl 0061.04503 · doi:10.1007/BF02566240
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