Abelian and Tauberian theorems for the Laplace transform of functions in several variables

E. Omey and E. Willekens

Journal of Multivariate Analysis, 1989, vol. 30, issue 2, 292-306

Abstract: Using two kinds of multivariate regular variation we prove several Abel-Tauber theorems for the Laplace transform of functions in several variables. We generalize some power series results of Alpar and apply our results in multivariate renewal theory.

Keywords: multivariate regular variation Tauberian theorem; power series; multivariate renewal theory (search for similar items in EconPapers)
Date: 1989
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Citations: View citations in EconPapers (3)

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