General $n$-dimensional Tauberian problems with application to the Laplace- and Stieltjes transforms

Authors

  • Lennart Frennemo

DOI:

https://doi.org/10.7146/math.scand.a-14390

Abstract

A general theorem on the closure of translates in certain weighted spaces in $R^n$ is proved and as a consequence a general $n$-dimensional Tauberian theorem. This is applied to the $n$-dimensional Laplace transform and to the one-dimensional Stieltjes- and Weierstrass transforms.

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Published

2002-12-01

How to Cite

Frennemo, L. (2002). General $n$-dimensional Tauberian problems with application to the Laplace- and Stieltjes transforms. MATHEMATICA SCANDINAVICA, 91(2), 269–284. https://doi.org/10.7146/math.scand.a-14390

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Section

Articles