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Zbl 1037.53036
Gasqui, Jacques; Goldschmidt, Hubert
Injectivity of the Radon transform on Grassmannians. (Injectivité de la transformation de Radon sur les grassmanniennes.) (French)
[A] Seminar on spectral theory and geometry. 1999--2000. St. Martin d'Hères: Université de Grenoble I, Institut Fourier. Sémin. Théor. Spectr. Géom. 18, 27-41 (2000).

The authors describe injectivity results of Radon transforms and spectral rigidity for functions resp. forms of degree 1 on real and complex Grassmannians. See also Contemp. Math. 251, 205--221 (2000; Zbl 0977.53048).
[Eberhard Teufel (Stuttgart)]
MSC 2000:
*53C35 Symmetric spaces (differential geometry)
58J53 Isospectrality
44A12 Radon transform
53C65 Integral geometry

Keywords: Radon transform; Grassmannian; spectral rigitity

Citations: Zbl 0977.53048

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