Geodesic
Ditkin sets in homogeneous spaces
Krishnan Parthasarathy1 ; Nageswaran Shravan Kumar1
1 Ramanujan Institute for Advanced Study in Mathematics University of Madras Chennai 600 005, India
Studia Mathematica, Tome 203 (2011) no. 3, pp. 291-307 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Ditkin sets for the Fourier algebra $A(G/K),$ where $K$ is a compact subgroup of a locally compact group $G,$ are studied. The main results discussed are injection theorems, direct image theorems and the relation between Ditkin sets and operator Ditkin sets and, in the compact case, the inverse projection theorem for strong Ditkin sets and the relation between strong Ditkin sets for the Fourier algebra and the Varopoulos algebra. Results on unions of Ditkin sets and on tensor products are also given.
DOI : 10.4064/sm203-3-5
Keywords: ditkin sets fourier algebra where compact subgroup locally compact group studied main results discussed injection theorems direct image theorems relation between ditkin sets operator ditkin sets compact inverse projection theorem strong ditkin sets relation between strong ditkin sets fourier algebra varopoulos algebra results unions ditkin sets tensor products given

Krishnan Parthasarathy 1 ; Nageswaran Shravan Kumar 1

1 Ramanujan Institute for Advanced Study in Mathematics University of Madras Chennai 600 005, India 
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Krishnan Parthasarathy; Nageswaran Shravan Kumar. Ditkin sets in homogeneous spaces. Studia Mathematica, Tome 203 (2011) no. 3, pp. 291-307. doi: 10.4064/sm203-3-5

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