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JOURNALS // Theory of Stochastic Processes // Archive

Theory Stoch. Process., 2007 Volume 13(29), Issue 2, Pages 194–204 (Mi thsp197)

Some properties of weight functions in Tauberian theorems. II

Andriy Olenko

Department of Probability Theory and Mathematical Statistics, Mathematical Faculty, Kyiv University, Volodymyrska 64, Kyiv, 01033, Ukraine

Abstract: New representations for weight functions in Tauberian theorems are derived. The representations are given by recurrent formulae. Obtained results are used to study properties of the weight functions.

Keywords: Tauberian theorems, random fields, weight functions, asymptotics.

MSC: 60G60, 40E05, 26A12, 44A15

Language: English



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