Geodesic
Smooth operators for the regular representation on homogeneous spaces
Studia Mathematica, Tome 142 (2000) no. 2, pp. 149-157 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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A necessary and sufficient condition for a bounded operator on $L^2(M)$, M a Riemannian compact homogeneous space, to be smooth under conjugation by the regular representation is given. It is shown that, if all formal 'Fourier multipliers with variable coefficients' are bounded, then they are also smooth. In particular, they are smooth if M is a rank-one symmetric space. 
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     author = {Severino Melo},
     title = {Smooth operators for the regular representation on homogeneous spaces},
     journal = {Studia Mathematica},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-142-2-149-157/}
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Severino Melo. Smooth operators for the regular representation on homogeneous spaces. Studia Mathematica, Tome 142 (2000) no. 2, pp. 149-157. doi: 10.4064/sm-142-2-149-157

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