Spectral asymptotics via the semiclassical Birkhoff normal form-Reference-Cited by-同舟云学术

Spectral asymptotics via the semiclassical Birkhoff normal form

Published:2008-06-15 Issue:3 Volume:143 Page:
ISSN:0012-7094
Container-title:Duke Mathematical Journal
language:
Short-container-title:Duke Math. J.

Author:

Charles Laurent¹,Vũ Ngọc San²

Affiliation:

1. Université Pierre et Marie Curie–Paris 6, UMR 7586, Institut de Mathématiques de Jussieu

2. Université de Rennes 1, IRMAR, UMR 6625

Publisher

Duke University Press

Subject

General Mathematics

Reference36 articles.

1. B. Helffer and D. Robert, Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles, J. Funct. Anal. 53 (1983), 246--268.

2. D. Robert, Autour de l'approximation semi-classique, Progr. Math. 68, Birkhäuser, Boston, 1987.

3. M. Dimassi and J. Sjöstrand, Spectral Asymptotics in the Semi-Classical Limit, London Math. Soc. Lecture Note Ser. 268, Cambridge Univ. Press, Cambridge, 1999.

4. V. Petkov and G. Popov, Semi-classical trace formula and clustering of eigenvalues for Schrödinger operators, Ann. Inst. H. Poincaré Phys. Théor. 68 (1998), 17--83.

5. V. Bargmann, On a Hilbert space of analytic functions and an associated integral transform, Comm. Pure Appl. Math. 14 (1961), 187--214.

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