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The Relationship Between ϵ-Kronecker Sets and Sidon Sets
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- Journal:
- Canadian Mathematical Bulletin / Volume 59 / Issue 3 / 01 September 2016
- Published online by Cambridge University Press:
- 20 November 2018, pp. 521-527
- Print publication:
- 01 September 2016
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- Article
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A subset
$E$ of a discrete abelian group is called 
$\varepsilon$-Kronecker if all $E$-functions of modulus one can be approximated to within ϵ by characters. $E$ is called a Sidon set if all bounded $E$-functions can be interpolated by the Fourier transform of measures on the dual group. As $\varepsilon$-Kronecker sets with 
$\varepsilon \,<\,2$ possess the same arithmetic 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.
Application of Reproducing Kernel Hilbert Spaces to a Minimization Problem with Prescribed Nodes
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- Journal:
- East Asian Journal on Applied Mathematics / Volume 1 / Issue 4 / November 2011
- Published online by Cambridge University Press:
- 28 May 2015, pp. 372-378
- Print publication:
- November 2011
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