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Colin de Verdière, Yves

Pseudo-laplaciens. I. (French) Zbl 0489.58034

Ann. Inst. Fourier 32, No. 3, 275-286 (1982).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 4 Reviews
Cited in 41 Documents

MSC:

58J50 Spectral problems; spectral geometry; scattering theory on manifolds
58C40 Spectral theory; eigenvalue problems on manifolds
53C20 Global Riemannian geometry, including pinching

Keywords:

Riemannian manifolds of dimension 2 or 3; eigenvalues of Laplacian
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\textit{Y. Colin de Verdière}, Ann. Inst. Fourier 32, No. 3, 275--286 (1983; Zbl 0489.58034)
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References:

[1] ALBEVERIO, FENSTADT, HOEGH-KROHN, Trans. A.M.S., t. 252 (1979), 275-295. · Zbl 0424.35014
[2] M. BERGER, P. GAUDUCHON et E. MAZET, Le spectre d’une variété riemannienne, Lecture Notes in Math., 194 (1971), Springer. · Zbl 0223.53034
[3] P. CARTIER, Analyse numérique d’un problème de valeurs propres à haute précision (application aux fonctions automorphes), Preprint I.H.E.S., (1978). · Zbl 0491.10018
[4] P. CARTIER, D. HEJHAL, Sur LES zéros de la fonction zêta de Selberg, Preprint I.H.E.S., (1979). · Zbl 0496.10012
[5] E. CODDINGTON, N. LEVINSON, Theory of ordinary differential equations, Mc Graw-Hill, (1955). · Zbl 0064.33002
[6] Y. COLIN DE VERDIERE, Une nouvelle démonstration du prolongement méromorphe des séries d’Eisenstein, CRAS, t. 293 (1981), 361-363. · Zbl 0478.30035
[7] M. GAFFNEY, Ann. of Math., 60 (1954), 140-145. · Zbl 0055.40301
[8] GROSSMANN, HOEGH-KROHN, MEBKHOUT, Comm. Math. Phys., 77 (1980), 87-100.
[9] H. HAAS, Numerische berechnung..., Diplomarbeit, Heidelberg (1977).
[10] T. KUBOTA, Elementary theory of Eisenstein series, John Wiley, (1973). · Zbl 0268.10012
[11] S. LANG, Sl2 (r), Addison-Wesley (1975).
[12] P. LAX, R. PHILLIPS, Scattering theory for automorphic functions, Annals of Math. Studies, 87 (1976). · Zbl 0362.10022
[13] REED, B. SIMON, Methods of modern math. physics, vol. II, Academic Press (1975). · Zbl 0308.47002
[14] A. VENKOV, Russian math. surveys, 34 (1979), 79-153. · Zbl 0437.10012
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.