Characterizing Sidon sets by interpolation properties of subsets

• Autorzy: Colin C. Graham , Kathryn E. Hare
• Języki publikacji: EN

Abstrakty

EN

Pisier's characterization of Sidon sets as containing proportional-sized quasi-independent subsets is given a sharper form for groups with only a finite number of elements having orders a power of 2. No such improvement is possible for a general Sidon subset of a group having an infinite number of elements of order 2. The method used also gives several sharper forms of Ramsey's characterization of Sidon sets as containing proportional-sized I₀-subsets in a uniform way, again in groups containing but a finite number of elements of order 2.

Kategorie tematyczne

• 42A55: Lacunary series of trigonometric and other functions; Riesz products
• 43A25: Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups
• 43A46: Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 112
• Numer: 2
• Strony: 175-199

Daty

wydano

2008

Twórcy

autor

Colin C. Graham

• Department of Mathematics, University of British Columbia, Vancouver, B.C., Canada
• RR#1-D-156, Bowen Island, B.C. V0N 1G0, Canada

autor

Kathryn E. Hare

• Department of Pure Mathematics, University of Waterloo, Waterloo, Ont. N2L 3G1, Canada

Identyfikatory

DOI

10.4064/cm112-2-1