Union problems for I0 sets
Let E be a subset of a discrete abelian group T with dual group G. We say E is IQ(U) if every bounded function on E is the restriction of the Fourier-Stieltjes transform of a discrete measure on U. We show that every Io{G) set is a finite union of Io(U) sets (the number is not independent of the ope...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2009
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| Sorozat: | Acta scientiarum mathematicarum
75 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16295 |
| Tartalmi kivonat: | Let E be a subset of a discrete abelian group T with dual group G. We say E is IQ(U) if every bounded function on E is the restriction of the Fourier-Stieltjes transform of a discrete measure on U. We show that every Io{G) set is a finite union of Io(U) sets (the number is not independent of the open set U, but the dependancy is made clear); if G is connected then E is Io(U) for all open U. Related results are given. |
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| Terjedelem/Fizikai jellemzők: | 175-195 |
| ISSN: | 0001-6969 |