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Fourier transforms of measures from the classes [beta]' -2

Author

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  • Jurek, Zbigniew J.
  • Schreiber, Bertram M.

Abstract

Subclasses [beta](E), -2 [[integral operator](0,1) t dY(t[beta])] are investigated when E is a Hilbert space. As an application of the fact that [beta] is a continuous isomorphism, generators for [beta] are found as the images of compound Poisson distributions. Finally, the connection between the distributions [beta] and thermodynamic limits in the Ising model with zero external field is pointed out.

Suggested Citation

  • Jurek, Zbigniew J. & Schreiber, Bertram M., 1992. "Fourier transforms of measures from the classes [beta]' -2," Journal of Multivariate Analysis, Elsevier, vol. 41(2), pages 194-211, May.
    • Handle: RePEc:eee:jmvana:v:41:y:1992:i:2:p:194-211
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    Cited by:

    1. Maejima, Makoto & Ueda, Yohei, 2010. "[alpha]-selfdecomposable distributions and related Ornstein-Uhlenbeck type processes," Stochastic Processes and their Applications, Elsevier, vol. 120(12), pages 2363-2389, December.

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