On the remainder term in the Weyl law for cofinite Kleinian groups with finite dimensional unitary representation

We obtain a new bound for the remainder term in the Weyl law for general cofinite Kleinian groups with finite dimensional unitary representation by applying a Tauberian theorem for the Laplace transform and a suitable truncation argument.

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Bibliographic Details
Published inArchiv der Mathematik Vol. 102; no. 2; pp. 117 - 126
Main Authors Smajlović, Lejla, Šćeta, Lamija
Format Journal Article
LanguageEnglish
Published Basel Springer Basel 01.02.2014
Subjects
Mathematics
Mathematics and Statistics
Primary 11F72
Tauberian theorem
Weyl law
Secondary 11M45
Kleinian groups
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Summary:We obtain a new bound for the remainder term in the Weyl law for general cofinite Kleinian groups with finite dimensional unitary representation by applying a Tauberian theorem for the Laplace transform and a suitable truncation argument.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-014-0613-9