Radon transform on symmetric matrix domains

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Radon Transform on Symmetric Matrix Domains

Let X be the matrix unit ball in Mn−k,k(K) consisting of contractive matrices where K = R, C, H. The domain X is a realization of the symmetric space G/K with G = U(n− k, k; K). The matrix ball yo of lower dimension in Mk′−k,k with k ′ ≤ n is a totally geodesic submanifold of X and let Y be the manifold of all G-translations of the submanifold y0. We consider the Radon transform from functions ...

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 2008

ISSN: 0002-9947

DOI: 10.1090/s0002-9947-08-04658-8