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

Issue

Vol. 91 No. 2 (2002)

Section

Articles

How to Cite

[1]
L. Frennemo, “General $n$-dimensional Tauberian problems with application to the Laplace- and Stieltjes transforms”, Math. Scand., vol. 91, no. 2, pp. 269–284, Dec. 2002, doi: 10.7146/math.scand.a-14390.