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Spectra of domains in compact manifolds. (English) Zbl 0392.58016

MSC:
58J50 Spectral problems; spectral geometry; scattering theory on manifolds
53C20 Global Riemannian geometry, including pinching
65N25 Numerical methods for eigenvalue problems for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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References:
[1] Chavel, I., Riemannien symmetric spaces of rank one, (1972), Dekker New York
[2] Helgason, S., Differential geometry and symmetric spaces, (1962), Academic Press New York · Zbl 0122.39901
[3] Hobson, E.W., The theory of spherical and elliposoidal harmonics, (1931), Cambridge University Press London · Zbl 0004.21001
[4] Narasimhan, R., Analysis on real and complex manifolds, (1968), North-Holland Amsterdam · Zbl 0188.25803
[5] Uhlenbeck, K., Eigenfunctions of Laplace operators, Bull. amer. math. soc., 78, 1073-1076, (1972) · Zbl 0275.58003
[6] Weinstein, A., Distance spheres in complex projective spaces, (), 649-650 · Zbl 0243.53040
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