A note on Tauberian Theorems of Exponential Type

Meitner Cadena (1, 2)

1 UPMC - Université Pierre et Marie Curie - Paris 6
2 ESSEC Business School

Tauberian Theorems of exponential type provided by Kohlbecker, de Bruijn, and Kasahara are proved in only one Tauberian theorem. To this aim, the structure of those classical tauberian theorems is identified and, using a relationship recently proved by Cadena and Kratz, the relationships among its components are given.

Mots clés: exponential Tauberian theorems; Laplace transform; regularly varying func-tion; large deviations

Domaines: Analyse classique [math.CA]

Meitner Cadena. A note on Tauberian Theorems of Exponential Type. 2015. ⟨hal-01136712v2⟩