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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/20032

Title: Riesz means of the counting function of the Laplace operator on compact manifolds of non-positive curvature
Authors: Mroz, Kamil
Strohmaier, Alexander
Issue Date: 2016
Publisher: © EMS Publishing House
Citation: MROZ, K. and STROHMAIER, A., 2016. Riesz means of the counting function of the Laplace operator on compact manifolds of non-positive curvature. Journal of Spectral Theory, in press.
Abstract: Let (M, g) be a compact, d-dimensional Riemannian manifold without boundary. Suppose further that (M, g) is either two dimensional and has no conjugate points or (M, g) has non-positive sectional curvature. The goal of this note is to show that the long time parametrix obtained for such manifolds by B´erard can be used to prove a logarithmic improvement for the remainder term of the Riesz means of the counting function of the Laplace operator.
Description: This paper was accepted for publication in the Journal of Spectral Theory and the accepted version is also available in arXiv http://arxiv.org/pdf/1409.1869v2.pdf
Version: Accepted for publication
URI: https://dspace.lboro.ac.uk/2134/20032
Publisher Link: http://www.ems-ph.org/journals/journal.php?jrn=jst
ISSN: 1664-039X
Appears in Collections:Pre-prints (Maths)

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