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

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.

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Year of publication:	1989
Authors:	Omey, E. ; Willekens, E.
Published in:	Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 30.1989, 2, p. 292-306
Publisher:	Elsevier
Subject:	multivariate regular variation Tauberian theorem \| power series \| multivariate renewal theory

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005221405