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Bérard, Pierre; Besson, Gérard

Spectres et groupes cristallographiques. II: Domaines sphériques. (Spectra and crystallographic groups. II: Spherical domains). (French) Zbl 0426.35073

Ann. Inst. Fourier 30, No. 3, 237-248 (1980).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0426.35073

Cited in 15 Documents

MSC:

35P05 General topics in linear spectral theory for PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35Q99 Partial differential equations of mathematical physics and other areas of application

Keywords:

spectrum; Laplacian; spherical domains; Coxeter groups
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References:

[1] [1] , Spectres et groupes cristallographiques I : Le cas euclidien, Inventiones Math., 58 (1980), 179-199. · Zbl 0434.35068
[2] [2] , , , Le spectre d’une variété riemannienne, Lecture Notes in Mathematics, n° 194, Springer. · Zbl 0223.53034
[3] [3] , Groupes et algèbres de Lie, Chap. 4 à 6, Hermann. · Zbl 0483.22001
[4] C. CLARK, The asymptotic distribution of eigenvalues and eigenfunctions for elliptic boundary value problems, Siam Review, 9 (1967), 627-646.0159.1970458 #23164 · Zbl 0159.19704
[5] [5] , Uber die asymptotische Verteilung der Eigenwerte des Laplace-Operators für Gebeite auf der Kugeloberfläche, Math. Z., 94 (1966), 110-121. · Zbl 0146.35002
[6] [6] , Weyl’s conjecture on manifolds with concave boundary, Proc. Symp. Pure Math., Vol. 36, AMS, Providence 1980. · Zbl 0436.58024
[7] [7] , On the eigenvalues of vibrating membranes, Proc. London Math. Soc., 11 (1961), 419-433. · Zbl 0107.41805
[8] T.A. SPRINGER, Invariant theory, Lecture Notes in Math., n° 585, Berlin-Herdelberg-New York, Springer, 1977.0346.2002056 #5740 · Zbl 0346.20020
[9] E. STEIN and G. WEISS, Fourier analysis on euclidian spaces, Princeton University Press.0232.42007 · Zbl 0232.42007
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