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

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. © 1989.

Año de publicación:

1989

Keywords:

• Tauberian theorem, power series, multivariate renewal theory
• multivariate regular variation

Fuente:

scopus