Volume des ensembles nodaux des fonctions propres du laplacien

P. Bérard

Séminaire Équations aux dérivées partielles (Polytechnique) (1984-1985)

  • page 1-9

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Bérard, P.. "Volume des ensembles nodaux des fonctions propres du laplacien." Séminaire Équations aux dérivées partielles (Polytechnique) (1984-1985): 1-9. <http://eudml.org/doc/111866>.

@article{Bérard1984-1985,
author = {Bérard, P.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {nodal set; eigenfunctions; Laplacian},
language = {fre},
pages = {1-9},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Volume des ensembles nodaux des fonctions propres du laplacien},
url = {http://eudml.org/doc/111866},
year = {1984-1985},
}

TY - JOUR
AU - Bérard, P.
TI - Volume des ensembles nodaux des fonctions propres du laplacien
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1984-1985
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 9
LA - fre
KW - nodal set; eigenfunctions; Laplacian
UR - http://eudml.org/doc/111866
ER -

References

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  1. [BD] Berard, P., Volume des ensembles nodaux des fonctions propres du laplacien. Prétirage Université de Savoie, 1985. Zbl0589.58033
  2. [BE] Besse, A.L., Manifolds all of whose geodesics are closed. Springer1978. 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-Interscience1953. Zbl0729.00007MR65391
  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 PRESS1979. 
  8. [SO] Santalo, L., Integral geometry and geometric probability. Addison-Wesley1976. Zbl0342.53049MR433364
  9. [YU] Yau, S.T., Problem section in Seminar on Differential Geometry. Ann. of Math. Studies, Princeton Univ. Press1982. Zbl0479.53001MR645762

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