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FREIMAN THEOREM, FOURIER TRANSFORM AND ADDITIVE STRUCTURE OF MEASURES.
- Source :
-
Journal of the Australian Mathematical Society . Feb2009, Vol. 86 Issue 1, p97-109. 13p. - Publication Year :
- 2009
-
Abstract
- We use the Freiman theorem in arithmetic combinatorics to show that if the Fourier transform of certain measures satisfies sufficiently bad estimates, then the support of the measure possesses an additive structure. The result is then discussed in light of the Falconer distance problem. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14467887
- Volume :
- 86
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of the Australian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 48188470
- Full Text :
- https://doi.org/10.1017/S1446788708000530