Estimations spectrales autour d'un niveau critique

Thierry Paul

Séminaire de théorie spectrale et géométrie (1992-1993)

  • Volume: 11, page 105-112
  • ISSN: 1624-5458

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Paul, Thierry. "Estimations spectrales autour d'un niveau critique." Séminaire de théorie spectrale et géométrie 11 (1992-1993): 105-112. <http://eudml.org/doc/114353>.

@article{Paul1992-1993,
author = {Paul, Thierry},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {operator of Schrödinger type; compact manifold; spectral estimates; trace formula},
language = {fre},
pages = {105-112},
publisher = {Institut Fourier},
title = {Estimations spectrales autour d'un niveau critique},
url = {http://eudml.org/doc/114353},
volume = {11},
year = {1992-1993},
}

TY - JOUR
AU - Paul, Thierry
TI - Estimations spectrales autour d'un niveau critique
JO - Séminaire de théorie spectrale et géométrie
PY - 1992-1993
PB - Institut Fourier
VL - 11
SP - 105
EP - 112
LA - fre
KW - operator of Schrödinger type; compact manifold; spectral estimates; trace formula
UR - http://eudml.org/doc/114353
ER -

References

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  1. [BPU] BRUMMELHUIS R., PAUL T., URIBE A. - Spectral estimates near a critical level, Soumis pour publication à Duke Math. Journal. Zbl0849.58067
  2. [BU] BRUMMELHUIS R., URIBE A. - A trace formula for Schrödinger operators, Comm. Math. Phys. 136 ( 1991), 567-584. Zbl0729.35093MR1099696
  3. [CdV] COLIN DE VERDIÈRE Y. - Ergodicité et fonctions propres du laplacien, Comm. Math. Phys. 102 ( 1985), 497-502. Zbl0592.58050MR818831
  4. [CdV-P] COLIN DE VERDIÈRE Y., PARISSE B. - Équilibre instable en régime semi-classique I : concentration microlocale, Prépublication de l'Institut Fourier n° 252, Grenoble , soumis à Comm. PDE. Zbl0819.35116
  5. [HMR] HELFFER B., MARTINEZ A., ROBERT D. - Ergodicité et limite semi-classique, Comm. Math. Phys. 109 ( 1987), 313-326. Zbl0624.58039MR880418
  6. [GUh] GUILLEMIN V., UHLMANN G. - Osciliatory integrals with singular symbols, Duke Math. J. 48 ( 1981), 251-267. Zbl0462.58030MR610185
  7. [GU] GUILLEMIN V., URIBE A. - Circular symmetry and the trace formula, Invent. Math. 96 ( 1989), 385-423. Zbl0686.58040MR989702
  8. [MU] MELROSE R.B., UHLMANN G. - Lagrangian intersection and the Cauchy problem, Comm. Pure Appl. Math. 32 ( 1979), 483-519. Zbl0396.58006MR528633
  9. [PU] PAUL T., URIBE A. - Sur la formule semi-classique des traces, C.R. Acad. Sci. Paris Sér. I Math. 313 I ( 1991), 217-222, The semi-classical trace formula, preprint. Zbl0738.58046MR1126383
  10. [S] SCHNIRELMAN A. - Ergodic properties of eigenfunctions, Usp. Math. Nauk 29 ( 1974), 181-182. MR402834
  11. [Z] ZELDITCH S. - Uniform distribution of eigenfunctions on compact hyperbolic surfaces, Duke Math. J. 55 ( 1987), 919-941. Zbl0643.58029MR916129

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