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Levy-Schoenberg kernels on riemannian symmetric spaces of noncompact type

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Probability Measures on Groups VIII

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1210))

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References

  1. Delorme, P.: 1-Cohomologie des Représentations Unitaires des Groupes de Lie Semi-Simple et Résolubles. Produits Tensoriels Continus de Représentations, Bull. Soc. Math. France, 105, (1977), p. 281–336

    MathSciNet  MATH  Google Scholar 

  2. Erven, J., Falkowski, B.-J.: Low Order Cohomology and Applications, Lecture Notes in Mathematics, Vol. 877, Springer-Verlag (1981)

    Google Scholar 

  3. Erven, J., Falkowski,B.-J.: Continuous Cohomology, Infinitely Divisible Positive Definite Functions, and Continuous Tensor Products for SU(1;1), in Probability Measures on Groups (Ed. H. Heyer), Lectures Notes in Mathematics, Vol. 928, Springer-Verlag (1982), p. 76–89

    Google Scholar 

  4. Falkowski, B.-J.: An Analogue of the Lévy-Khintchin Formula on SL(2;ℂ), in Probability Measures on Groups VII (Ed. H. Heyer), Lecture Notes in Mathematics, Vol. 1064, Springer-Verlag (1984), p. 80–85.

    Google Scholar 

  5. Faraut, J., Harzallah, K.: Distances Hilbertiennes Invariantes sur un Espace Homogène, Ann. L'Inst. Fourier (Grenoble) XXIV (1974), p. 171–217

    Article  MathSciNet  MATH  Google Scholar 

  6. Fürstenberg, H.: Noncommuting Random Products, TAMS, 108, (1963), p. 377–428

    Article  MathSciNet  MATH  Google Scholar 

  7. Gangolli, R.: Positive Definite Kernels on Homogeneous Spaces and Certain Stochastic Processes Related to Lévy's Brownian Motion of Several Parameters, Ann. Inst. H. Poincaré, Vol. III, no 2, (1967), p. 121–225

    MathSciNet  MATH  Google Scholar 

  8. Heyer, H.: Convolution Semigroups of Probability Measures on Gelfand Pairs, Expo. Math. 1 (1983), p. 3–45

    MathSciNet  MATH  Google Scholar 

  9. Lipsman, R.L.: Group Representations, Lecture Notes in Mathematics, Vol. 388, Springer-Verlag (1974)

    Google Scholar 

  10. Mackey, G.W.: The Theory of Unitary Group Representations, Chicago Lectures in Mathematics, University of Chicago Press, (1976)

    Google Scholar 

  11. Parthasarathy, K.R., Schmidt, K.: Positive Definite Kernels, Continuous Tensor Products, and Central Limit Theorems of Probability Theory, Lecture Notes in Mathematics, Vol. 272, Springer-Verlag, Berlin (1972)

    MATH  Google Scholar 

  12. Pinczon, G., Simon, E.: On the 1-Cohomology of Lie Groups, Letters in Math. Phys. 1, (1975), p. 83–91

    Article  MathSciNet  MATH  Google Scholar 

  13. Warner, G.: Harmonic Analysis on Semi-Simple Lie Groups I, Grundlehren der math. Wissenschaften, Bd. 188, Springer-Verlag (1972)

    Google Scholar 

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Authors and Affiliations

  1. Fakultät für Informatik Institut für Mathematik, Universität der Bundeswehr München, Werner-Heisenberg-Weg 39, D-8014, Neubiberg

    B.-J. Falkowski

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  1. B.-J. Falkowski
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Herbert Heyer

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© 1986 Springer-Verlag

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Falkowski, BJ. (1986). Levy-Schoenberg kernels on riemannian symmetric spaces of noncompact type. In: Heyer, H. (eds) Probability Measures on Groups VIII. Lecture Notes in Mathematics, vol 1210. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077172

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  • DOI: https://doi.org/10.1007/BFb0077172

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16806-5

  • Online ISBN: 978-3-540-44852-5

  • eBook Packages: Springer Book Archive

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