Geodesic
Besov spaces on symmetric manifolds—the atomic decomposition
Studia Mathematica, Tome 124 (1997) no. 3, pp. 215-238

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DOI

We give the atomic decomposition of the inhomogeneous Besov spaces defined on symmetric Riemannian spaces of noncompact type. As an application we get a theorem of Bernstein type for the Helgason-Fourier transform. 
Leszek Skrzypczak. Besov spaces on symmetric manifolds—the atomic decomposition. Studia Mathematica, Tome 124 (1997) no. 3, pp. 215-238. doi: 10.4064/sm-124-3-215-238
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