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SEMI-CLASSICAL ASYMPTOTICS OF RIESZ MEANS

Published online by Cambridge University Press:  08 January 2001

VINCENT BRUNEAU
VINCENT BRUNEAU
Affiliation:
Mathématiques Appliquées de Bordeaux, CNRS UMR 5466, Université Bordeaux I, 351 cours de la Libération, F-33405 Talence, France; vbruneau@math.u-bordeaux.fr
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Abstract

The semi-classical asymptotic behaviour of the Riesz means of a distribution of eigenvalues is investigated at a non-critical energy level. For Schrödinger type operators, the second term related to the periodic trajectories of the classical Hamiltonian is obtained. This oscillating term is explained for Riesz means of order 1 with the aim of discussing a Lieb–Thirring conjecture.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 62 , Issue 2 , October 2000 , pp. 613 - 624
Copyright
The London Mathematical Society 2000

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