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

Zbigniew J. Jurek and Bertram M. Schreiber

Journal of Multivariate Analysis, 1992, vol. 41, issue 2, 194-211

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.

Keywords: infinitely; divisible; measure; stable; measure; self-decomposable; measure; random; integral; Skorohod; space; Banach; space; stable; type; Ising; model (search for similar items in EconPapers)
Date: 1992
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