Hardy spaces and analytic continuation of Bergman spaces

 Access to full text

 Full (PDF)

1. [Ach96] ACHAB (D.). — Représentations C-dissipatives irréductibles. — Journées ‘Programme de Gelfand-Gindikin’, Paris, 1996. 
2. [Be96] BERTRAM (W.). — On some Causal and conformal Groups, J. Lie Theory, t. 6, 1996, p. 215-244. Zbl0873.17030MR98d:53076
3. [Be98] BERTRAM (W.). — Algebraic Structures of Makarevič Spaces I, Transformation Groups, t. 3, 1998, p. 3—32. Zbl0894.22004MR99c:32047
4. [BH97] BERTRAM (W.), HILGERT (J.). — Reproducing Kernels on Vector Bundles. — Preprint, Clausthal, 1997. 
5. [BO98] BETTEN (F.), ÓLAFSSON (G.). — Causal compactifications and Hardy spaces of spaces of Hermitian type. — Submitted. 
6. [Cha98] CHADLI (M.). — Espace de Hardy d'un espace symétrique de type Cayley, Ann. Inst. Fourier, t. 48, 1998, p. 97-132. Zbl0920.43008MR99b:22022
7. [Chab90] CHABAT (B.). — Introduction à l'analyse complexe, vol. 2. — Éditions MIR, Moscou, 1990. Zbl0732.32001
8. [FK94] FARAUT (J.), KORÁNYI (A.). — Analysis on symmetric cones. — Clarendon Press, Oxford, 1994. Zbl0841.43002MR98g:17031
9. [FO95] FARAUT (J.), ÓLAFSSON (G.). — Causal semi-simple symmetric spaces, the geometry and harmonic analysis, in ‘Semigroups in Algebra, Geometry and Analysis’. — Hofmann, Lawson, Vinberg, eds. ; de Gruyter, Berlin, 1995. Zbl0854.43015
10. [Hw69] HELWIG (K.H.). — Involutionen von Jordan-Algebren, Man. Math., t. 1, 1969, p. 211-229. Zbl0182.36501MR39 #5645
11. [HO96] HILGERT (J.), ÓLAFSSON (G.). — Causal Symmetric Spaces — Geometry and Harmonic Analysis, Perspectives in Math., t. 18, Academic Press, San Diego, 1996. Zbl0931.53004
12. [HOØ91] HILGERT (J.), ÓLAFSSON (G.), ØRSTED (B.). — Hardy spaces on affine symmetric spaces, J. reine angew. Math., t. 415, 1991, p. 189-218. Zbl0716.43006MR92h:22030
13. [JV79] JAKOBSEN (H.P.), VERGNE (M.). — Restriction and Expansion of Holomorphic Representations, J. Functional Analysis, t. 34, 1979, p. 29-53. Zbl0433.22011MR80m:22020
14. [Ko68] KOBAYASHI (S.). — Irreducibility of certain unitary representations, J. Math. Soc. Japan, t. 20, 1968, p. 638-642. Zbl0165.40504MR37 #6968
15. [Ko97] KOBAYASHI (T.). — Multiplicity free theorem in branching problems of unitary highest weight modules, in ‘Proceedings of the annual meeting of Representation Theory at Saga 1997’. — K. Mimachi, ed., p. 9-17. 
16. [KØ96] KOUFANY (K.), ØRSTED (B.). — Function spaces on the Olshanski semi-group and the Gelfand-Gindikin program, Ann. Inst. Fourier, t. 46, 1996, p. 689-722. Zbl0853.22010
17. [KØ97] KOUFANY (K.), ØRSTED (B.). — Hardy spaces on two-sheeted covering semigroups, J. Lie theory, t. 7, 1997, p. 245-267. Zbl0884.22006MR98k:22060
18. [Kr97] KRÖTZ (B.). — On Hardy and Bergman spaces on complex Olshanskii semigroups. — Submitted. 
19. [La85] LASSALLE (M.). — L'espace de Hardy d'un domaine de Reinhard généralisé, J. Funct. Anal., t. 60, 1985, p. 309-340. Zbl0578.32009MR86g:32049
20. [Lo77] LOOS (O.). — Bounded symmetric domains and Jordan pairs. — Lecture Notes, Irvine, 1977. 
21. [Ma73] MAKAREVIČ (B.O.). — Open symmetric orbits of reductive groups in symmetric R-spaces, Math. USSR Sbornik, t. 20, 1973, p. 406-418. Zbl0285.53041
22. [Mo97] MOLCHANOV (V.). — Holomorphic Disrete Series for Hyperboloids of Hermitian Type, J. Funct. Anal., t. 147, 1997, p. 26-50. Zbl0881.43005MR99b:22026
23. [Ne98] NEEB (K.H.). — Holomorphy and Convexity in Lie Theory. — de Gruyter, to appear. Zbl0936.22001
24. [OØ91] ÓLAFSSON (G.), ØRSTED (B.). — The holomorphic discrete series of an affine symmetric space and representations with reproducing kernel, Trans. Am. Math. Soc., t. 326, 1991, p. 385-405. Zbl0760.22020MR91j:22014
25. [OØ98] ÓLAFSSON (G.), OØRSTED (B.). — Causal compactifications and Hardy Spaces, Trans. AMS, to appear. 
26. [Pe96] PEVSNER (M.). — Espace de Bergman d'un semi-groupe complexe, Comptes Rendus Ac. Sci. Paris, Série 1, t. 322, 1996, p. 635-640. Zbl0843.22002MR97b:22015
27. [Sa80] SATAKE (I.). — Algebraic structures of symmetric domains. — Iwanami Shoten, Princeton, 1980. Zbl0483.32017MR82i:32003
28. [Ta73] TAKEUCHI (M.). — Polynomial representations associated with symmetric bounded domains, Osaka J. Math., t. 10, 1973, p. 441-475. Zbl0313.32042MR54 #616