1. CMB 2016 (vol 59 pp. 521)
||The Relationship Between $\epsilon$-Kronecker Sets and Sidon Sets|
A subset $E$ of a discrete abelian group is called $\epsilon
all $E$-functions of modulus one can be approximated to within
by characters. $E$ is called a Sidon set if all bounded $E$-functions
interpolated by the Fourier transform of measures on the dual
group. As $%
\epsilon $-Kronecker sets with $\epsilon \lt 2$ possess the same
properties as Sidon sets, it is natural to ask if they are Sidon.
We use the
Pisier net characterization of Sidonicity to prove this is true.
Keywords:Kronecker set, Sidon set
Categories:43A46, 42A15, 42A55