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Some spectral results on rank one symmetric spaces. (English) Zbl 0441.58012

MSC:
58J50 Spectral problems; spectral geometry; scattering theory on manifolds
58C40 Spectral theory; eigenvalue problems on manifolds
53C22 Geodesics in global differential geometry
53C35 Differential geometry of symmetric spaces
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[1] Berger, M; Gauduchon, P; Mazet, E, Le spectre d’une variété riemanniene, (1971), Springer-Verlag Berlin/New York
[2] Duistermaat, J.J; Guillemin, V, The spectrum of positive elliptic operators and periodic geodesics, Invent. math., 29, (1975) · Zbl 0322.35071
[3] Duistermaat, J.J; Hormander, L, Fourier integral operators, II, Acta math., 128, (1972) · Zbl 0232.47055
[4] Guillemin, V, The Radon transform on Zoll surfaces, Advances in math., 22, 85-119, (1976) · Zbl 0353.53027
[5] Helgason, S, The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds, Acta math., 113, (1965) · Zbl 0163.16602
[6] Seeley, R, Complex powers of an elliptic operator, () · Zbl 0218.35034
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