Volume des ensembles nodaux des fonctions propres du laplacien

Pierre Bérard

Séminaire de théorie spectrale et géométrie (1984-1985)

  • Volume: 3, page 1-9
  • ISSN: 1624-5458

How to cite

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Bérard, Pierre. "Volume des ensembles nodaux des fonctions propres du laplacien." Séminaire de théorie spectrale et géométrie 3 (1984-1985): 1-9. <http://eudml.org/doc/114242>.

@article{Bérard1984-1985,
author = {Bérard, Pierre},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {nodal set; eigenfunctions; Laplacian},
language = {fre},
pages = {1-9},
publisher = {Institut Fourier},
title = {Volume des ensembles nodaux des fonctions propres du laplacien},
url = {http://eudml.org/doc/114242},
volume = {3},
year = {1984-1985},
}

TY - JOUR
AU - Bérard, Pierre
TI - Volume des ensembles nodaux des fonctions propres du laplacien
JO - Séminaire de théorie spectrale et géométrie
PY - 1984-1985
PB - Institut Fourier
VL - 3
SP - 1
EP - 9
LA - fre
KW - nodal set; eigenfunctions; Laplacian
UR - http://eudml.org/doc/114242
ER -

References

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  1. [BD] BERARD, P. , Volume des ensembles nodaux des fonctions propres du laplacien. Prétirage Université de Savoie, 1985. Zbl0589.58033MR819780
  2. [BE] BESSE, A.L., Manifolds all of whose geodesics are closed. Springer 1978. Zbl0387.53010MR496885
  3. [B-G] BRÜNING, J. - GROMES, D., Über die Länge der Knotenlienien schwingender Membranen, Math. Z. 124 ( 1972), 79-82. Zbl0226.35078MR287202
  4. [B-M] BERARD, P. - MEYER, D. , Inégalités isopérimétriques et applications. Ann. Scient. Ec. Norm. Sup. 15 ( 1982), 513-542. Zbl0527.35020MR690651
  5. [BR] BRÜNING, J. , Über die Knoten von Eigenfunktionen des Laplace-Beltrami Operators. Math. Z. 158 ( 1978), 15-21. Zbl0349.58012MR478247
  6. [C-H] COURANT, R. - HILBERT, D., Methods of mathematical physics. Wiley-Interscience 1953. Zbl0051.28802MR65391
  7. [KC] KAC, M. , On the average number of real roots of a Random Algebraic equation, in Selected papers : Probability, number theory and Statistical Physics. MIT PRESS 1979. 
  8. [SO] SANTALD, L., Integral geometry and geometrie probability. Addison-Wesley 1976. 
  9. [YU] YAU, S.T. , Problem section in Seminar on Differential Geometry. Ann. of Math. Studies, Princeton Univ. Press 1982. Zbl0479.53001MR645762

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