title: TAUBERIAN THEOREMS FOR MATRIX REGULAR VARIATION.
abstract: Karamata's Tauberian theorem relates the asymptotics of a nondecreasing right-continuous function to that of its Laplace-Stieltjes transform, using regular variation. This paper establishes the analogous Tauberian theorem for matrix-valued functions. Some applications to time series analysis are indicated.
authors.affiliation: Department of Statistics and Probability, Michigan State University, East Lansing, MI 48824, mcubed@stt.msu.edu , URL : http://www.stt.msu.edu/~mcubed/
authors.forename: M M
authors.initials: MM
authors.lastname: Meerschaert
authors.affiliation: Fachbereich Mathematik, University at Siegen, 57068 Siegen, Germany, scheffler@mathematik.uni-siegen.de , URL : http://www.uni-siegen.de/fb6/src/scheffler/
authors.forename: H-P
authors.initials: HP
authors.lastname: Scheffler