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 and phrases: multivariate regular variation; Tauberian theorem, Power series, multivariate renewal theory.
|Place of Publication||Eindhoven|
|Publisher||Technische Universiteit Eindhoven|
|Number of pages||17|
|Publication status||Published - 1988|