Hill equation at meromorphic potential

Thierry Ramond

Journées équations aux dérivées partielles (1992)

  • page 1-7
  • ISSN: 0752-0360

How to cite

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Ramond, Thierry. "Équation de Hill à potentiel méromorphe." Journées équations aux dérivées partielles (1992): 1-7. <http://eudml.org/doc/93261>.

@article{Ramond1992,
author = {Ramond, Thierry},
journal = {Journées équations aux dérivées partielles},
keywords = {WKB method; lifting method; Hill equation; analytic symbols; instable interval},
language = {fre},
pages = {1-7},
publisher = {Ecole polytechnique},
title = {Équation de Hill à potentiel méromorphe},
url = {http://eudml.org/doc/93261},
year = {1992},
}

TY - JOUR
AU - Ramond, Thierry
TI - Équation de Hill à potentiel méromorphe
JO - Journées équations aux dérivées partielles
PY - 1992
PB - Ecole polytechnique
SP - 1
EP - 7
LA - fre
KW - WKB method; lifting method; Hill equation; analytic symbols; instable interval
UR - http://eudml.org/doc/93261
ER -

References

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  1. [Av-Si] J.Avron, B.Simon: The Asymptotics of the gap in the Mathieu Equation Annals of Physics 134, p. 76-84, 1981. Zbl0464.34020MR82h:34030
  2. [Ge-Gr] C.Gérard, A.Grigis: Precise Estimates of Tunneling and Eingenvalues near a Potential Barrier J. Differential Equations 72, 1988, p. 149-177. Zbl0668.34022MR89h:34024
  3. [Gr] A.Grigis: Estimations Asymptotiques des Intervalles d'Instabilité pour l'Equation de Hill Ann. Sci. Ecole Norm. Sup. 4ième série, t.20, 1987, p. 641-672. Zbl0644.34021MR89e:34056
  4. [He-Sj] B.Helffer, J.Sjöstrand: Semiclassical Analysis for Harper's Equation, III Mémoire n° 39, Bull. Soc. Math. France. 
  5. [Mz] C.März: Spectral Asymptotics near the Potential Maximum for Hill's Equation Asymptotic Analysis vol. 5, 1992, p. 221-267. Zbl0786.34080
  6. [Ra] T.Ramond: Intervalles d'Instabilité pour une Equation de Hill à Potentiel Méromorphe à paraître au Bull. Soc. Math. France. Zbl0790.34051
  7. [Sj] J.Sjöstrand: Singularités Analytiques Microlocales Astérisque n° 95, 1982. Zbl0524.35007MR84m:58151

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