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 and phrases: multivariate regular variation; Tauberian theorem, Power series, multivariate renewal theory.
| Original language | English |
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| Place of Publication | Eindhoven |
| Publisher | Technische Universiteit Eindhoven |
| Number of pages | 17 |
| Publication status | Published - 1988 |
Publication series
| Name | Memorandum COSOR |
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| Volume | 8810 |
| ISSN (Print) | 0926-4493 |