On one result of J. Bourgain
In a linear space of dimension n over the field , we construct a set A of given density such that the Fourier transform of A is large on a large set, and the intersection of A with any subspace of small dimension is small. The results obtained show, in a certain sense, the sharpness of one theorem o...
Gespeichert in:
| Veröffentlicht in: | Ukrainian mathematical journal 2010-10, Vol.62 (3), p.380-419 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | In a linear space of dimension
n
over the field
, we construct a set
A
of given density such that the Fourier transform of
A
is large on a large set, and the intersection of
A
with any subspace of small dimension is small. The results obtained show, in a certain sense, the sharpness of one theorem of J. Bourgain. |
|---|---|
| ISSN: | 0041-5995 1573-9376 |
| DOI: | 10.1007/s11253-010-0361-3 |