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Domains of Positivity

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Bibliography

  1. S.Bergman, The Kernel Function, Amer. Math. Soc. Survey 5, 1950.

  2. Bochner-Mabtin, Several Complex Variables, Princeton University Press, 1948.

  3. S. Bochner, Fourier Transforms, Princeton University Press, 1949.

  4. S. Bochner, Bessel Functions and Modular Relations of Higher Type and Hyperbolic Differential Equations, Communications du seminaire mathéma tique de l’université de Lund, tome supplementaire (1952), dédié a Marcel Riesz.

  5. S. Bochner, Gamma Factors in Functional Equations, Proc. of the Nat. Acad. of Sci., Vol. 42, No. 2, pp. 86–89, February, 1956.

    Article  MATH  MathSciNet  Google Scholar 

  6. E. Cartan, Sur une Classe Remarquable d’Espaces de Riemann, Bulletin de la Soc. Math, de France, Vol. 54, pp. 214–264, 1926.

    MATH  MathSciNet  Google Scholar 

  7. E. Cartan, Domaines bornés homogènes de l’espace den variables complexes, Abhandlung aus dem Math. Sem. der Hamburgischen Univ., Vol. 11, pp. 116–162, 1935.

    Article  MATH  Google Scholar 

  8. E. Cartan, Formes Riemanniennes des geometries a groupe fondamental simple, Ann. de l’Ecole Normale Supérieure, third series, Vol. 44, pp. 344–467, 1927.

    MathSciNet  Google Scholar 

  9. E. Cabtan, Les espaces riemanniens symétriques, Verhandlung des Internationalen Mathematiker-Kongresses Zürich, 1932, Vol. 1, pp. 152–161.

    Google Scholar 

  10. L. P. Eisenhart, Continuous Groups of Transformations, Princeton University Press, 1933.

  11. L. P. Eisenhart, Riemannian Geometry, Princeton University Press, 2nd edition, 1949.

  12. C. S. Herz, Bessel Functions of Matrix Argument, Ann. of Math., 2nd series, Vol. 61, no. 1, 1955, pp. 474–523.

    Article  MathSciNet  Google Scholar 

  13. Hel-Braun, Hermitian Modular Functions III, Ann. of Math., 2nd series, Vol. 53, No. 1, 1951, pp. 143–160.

    Article  MathSciNet  Google Scholar 

  14. M. Koecher, Positivitätsbereiche imR n, Amer. Jour, of Math. Vol. 79 No. 3, 1957, pp. 575–596.

    Article  MATH  MathSciNet  Google Scholar 

  15. E. McShane, Integration, Princeton University Press, 1944.

  16. J. Mitchell, The Kernel Function in the Geometry of Matrices, Duke Math. Jour., Vol. 19, No. 4, 1952, pp. 575–583.

    Article  MATH  Google Scholar 

  17. C. L. Siegel, Symplectic Geometry, Amer. Jour, of Math., vol. 65, No. 1, 1943, pp. 1–86.

    Article  Google Scholar 

  18. H. Weyl, The Classical Groups, Princeton University Press, 2nd edition, 1946.

  19. S. Bochner, Group Invariance of Cauchy’s Formula in Several Variables, Ann. of Math., 2nd series, Vol. 45, No. 1, 1944, pp. 686–707.

    Article  MathSciNet  Google Scholar 

  20. S. Bochner, Vorlesungen über Fouriersche Integrale, Akademische Verlagsgesellschaft mbH., Leipzig 1932.

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Authors
  1. Oscar S. Rothaus
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This paper was a doctoral dissertation submitted to Princeton University

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Rothaus, O.S. Domains of Positivity. Abh.Math.Semin.Univ.Hambg. 24, 189–235 (1960). https://doi.org/10.1007/BF02942030

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