Geodesic
About some approach to the~theory of Nikolski\v{i}--Besov spaces on homogeneous manifolds
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 207-223.

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Let $M$ be a compact symmetric space of rank 1. We have defined the Nikolski\v{i}–Besov function classes $B_{p,\theta}^r(M)$, $r>0$, $1\leq\theta\leq\infty$, $1\leq p\leq\infty$, and we have obtained a constructive description of these classes in terms of the best approximations of functions $f\in L_p(M)$ by the spherical polynomials on $M$. 
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     author = {S. S. Platonov},
     title = {About some approach to the~theory of {Nikolski\v{i}--Besov} spaces on homogeneous manifolds},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {207--223},
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     year = {2000},
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S. S. Platonov. About some approach to the~theory of Nikolski\v{i}--Besov spaces on homogeneous manifolds. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 207-223. http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a16/