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On Stein extensions of real symmetric spaces

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References

  1. Alekseevsky, D.V.: On perfect actions of Lie groups. Usp. Mat. Nauk34, 219–220 (1979) (in Russian)

    MathSciNet  Google Scholar 

  2. Gelfand, I.M., Gindikin, S.G.: Complex manifolds, the skeletons of which are semisimple real Lie groups, and analytic discrete series of representations. Funkt. Anal. Appl.11, 19–27 (1977) (in Russian)

    MathSciNet  Google Scholar 

  3. Grauert, H.: On Levi's problem and the imbedding of real analytic manifolds. Ann. Math.68, 460–472 (1958)

    Article  MathSciNet  MATH  Google Scholar 

  4. Helgason, S.: Differential geometry, Lie groups and symmetric spaces. New York: Academic Press 1978

    MATH  Google Scholar 

  5. Helgason, S.: Groups and geometric analysis. Integral geometry, invariant differential operators and spherical functions. New York: Academic Press 1984

    MATH  Google Scholar 

  6. Lassale, M.: Séries de Laurent des fonctions holomorphes dans la complexification d'un espace symmétrique compact, Ann. Sci. Éc. Norm. Super. 4e sér.11, 167–210 (1978)

    Google Scholar 

  7. Matsushima, Y.: Espaces homogènes de Stein des groupes de Líe complexes. I. Nagoya Math. J.16, 205–218 (1960)

    Article  MathSciNet  MATH  Google Scholar 

  8. Ol'shansky, G.I.: Complex Lie semi-groups, Hardy spaces and the program of Gelfand and Gindikin. In: Problems of group theory and homological algebra. Yaroslavl, 1982, pp. 85–98 (in Russian)

  9. Wells, R.O. (Jr.): Parametrizing the compact submanifolds of a period matrix domain by a Stein manifold (Lecture Notes in Mathematics, Vol. 184, pp. 121–150). Berlin Heidelberg New York: Springer 1970

    Google Scholar 

  10. Wells, R.O. (Jr.), Wolf, J.: Poincaré series and automorphic cohomology on flag domains. Ann. Math.105, 397–448 (1977)

    Article  MathSciNet  MATH  Google Scholar 

  11. Whitney, H., Bruhat, F.: Quelques propriétés fondamentales des ensembles analytiquesréels. Comment. Math. Helv.33, 132–160 (1959)

    Article  MathSciNet  MATH  Google Scholar 

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To Professor Grauert with admiration and gratitude

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Akhiezer, D.N., Gindikin, S.G. On Stein extensions of real symmetric spaces. Math. Ann. 286, 1–12 (1990). https://doi.org/10.1007/BF01453562

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