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Norm-dependent positive definite functions on B-spaces

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Probability in Banach Spaces IV

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 990))

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References

  1. Berg, C., Christensen, J.P.R., Ressel, P.: Positive definite functions on abelian semigroups. Math. Ann. 223, 253–274 (1976)

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  2. Berg, C., Ressel, P.: Une forme abstraite du théorème de Schoenberg. Arch. Math. 30, 55–61 (1978)

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  3. Bretagnolle, J., Dacunha-Castelle, D., Krivine, J.-L.: Lois stables et espaces LP. Ann. Inst. H. Poincaré B, Vol. II No. 3, 231–259 (1966)

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  4. Dvoretzky, A.: Some results on convex bodies and Banach spaces. Proc. Internat. Symp. on Linear Spaces. Jerusalem (1961), 123–160

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  5. Einhorn, S.J.: Functions positive definite in C[0, 1]. Proc. Amer. Math. Soc. 22, 702–703 (1969)

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  6. Schoenberg, I.J.: Metric spaces and completely monotone functions. Ann. of Math. 39, 811–841 (1938)

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  7. Wells, J. H., Williams, L.R.: Embeddings and Extensions in Analysis. Berlin-Heidelberg-New York: Springer 1975.

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Author information

Authors and Affiliations

  1. Københavns Universitets Matematiske Institut, Universitetsparken 5, DK-2100, København ø

    Jens Peter Reus Christensen

  2. Math.-Geogr. Fak. der Universität Eichstätt, Residenzplatz 12, D-8078, Eichstätt

    Paul Ressel

Authors
  1. Jens Peter Reus Christensen
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  2. Paul Ressel
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Anatole Beck Konrad Jacobs

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© 1983 Springer-Verlag

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Christensen, J.P.R., Ressel, P. (1983). Norm-dependent positive definite functions on B-spaces. In: Beck, A., Jacobs, K. (eds) Probability in Banach Spaces IV. Lecture Notes in Mathematics, vol 990. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064262

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  • DOI: https://doi.org/10.1007/BFb0064262

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12295-1

  • Online ISBN: 978-3-540-39870-7

  • eBook Packages: Springer Book Archive

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