Valeurs propres et résonances au voisinage d'un seuil

Alain Grigis; Frédéric Klopp

Bulletin de la Société Mathématique de France (1996)

  • Volume: 124, Issue: 3, page 477-501
  • ISSN: 0037-9484

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Grigis, Alain, and Klopp, Frédéric. "Valeurs propres et résonances au voisinage d'un seuil." Bulletin de la Société Mathématique de France 124.3 (1996): 477-501. <http://eudml.org/doc/87747>.

@article{Grigis1996,
author = {Grigis, Alain, Klopp, Frédéric},
journal = {Bulletin de la Société Mathématique de France},
keywords = {resolvant; periodic potential},
language = {fre},
number = {3},
pages = {477-501},
publisher = {Société mathématique de France},
title = {Valeurs propres et résonances au voisinage d'un seuil},
url = {http://eudml.org/doc/87747},
volume = {124},
year = {1996},
}

TY - JOUR
AU - Grigis, Alain
AU - Klopp, Frédéric
TI - Valeurs propres et résonances au voisinage d'un seuil
JO - Bulletin de la Société Mathématique de France
PY - 1996
PB - Société mathématique de France
VL - 124
IS - 3
SP - 477
EP - 501
LA - fre
KW - resolvant; periodic potential
UR - http://eudml.org/doc/87747
ER -

References

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  2. [Ba-Sk] BALSLEV (E.) and SKIBSTEDT (E.). — Resonance theory of two-body Schrödinger operators, Ann. Inst. Henri Poincaré, sér. Phys. Théor., t. 51, 1989, p. 129-154. Zbl0714.35063
  3. [Bi] BIRMAN (M.Sh.). — On the discrete spectrum in the gaps for a perturbed periodic second-order operator, Funct. Anal. Appl., t. 25, 4, 1991, p. 158-161. Zbl0733.35083
  4. [CFKS] CYCON (H.L.), FROESE (R.G.), KIRSCH (W.) and SIMON (B.). — Schrödinger operators. — Springer, Berlin Heidelberg New York, 1987. 
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  6. [Gé2] GÉRARD (C.). — Resonance theory for periodic Schrödinger operators, Bull. Soc. Math. France, t. 118, 1990, p. 27-54. Zbl0723.35059MR91h:35231
  7. [Ho] HOWLAND (J.). — The Livsic matrix in perturbation theory, J. Math. Anal. Apppl., t. 50, 1975, p. 415-437. Zbl0367.47010MR51 #11153
  8. [Kl] KLOPP (F.). — Resonances for perturbations of a semi-classical periodic Schrödinger operator, to appear in Arkiv. Math.. Zbl0818.35096
  9. [Or] ORTH (A.). — Quantum mechanical resonance and limiting absorption : the many-body case, Comm. Math. Phys., t. 126, 1990, p. 559-573. Zbl0694.35130MR91i:47067
  10. [Rai] RAIKOV (G.D.). — Eigenvalue asymptotics for the Schrödinger operator with perturbed periodic potential, Invent. Math., t. 110, 1992, p. 75-93. Zbl0801.35095MR93k:35200
  11. [ReSi] REED (M.) and SIMON (B.). — Methods of modern mathematical physics, vol. IV : analysis of operators. — Academic Press, New York, 1978. Zbl0401.47001
  12. [Sob] SOBOLEV (A.V.). — Weyl asymptotics for the discrete spectrum of the perturbed Hill operator, Adv. Sov. Math., Providence RI, t. 7, 1991, p. 159-178. Zbl0752.34046MR95i:34158

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