Rocky Mountain Journal of Mathematics

Characterizations of Classes of $I_0$ Sets in Discrete Abelian Groups

Colin C. Graham and Kathryn E. Hare

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Article information

Source
Rocky Mountain J. Math., Volume 40, Number 2 (2010), 513-525.

Dates
First available in Project Euclid: 13 May 2010

Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1273783903

Digital Object Identifier
doi:10.1216/RMJ-2010-40-2-513

Mathematical Reviews number (MathSciNet)
MR2646455

Zentralblatt MATH identifier
1201.42004

Subjects
Primary: 42A55: Lacunary series of trigonometric and other functions; Riesz products 42A63: Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization 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.)
Secondary: 43A05: Measures on groups and semigroups, etc. 43A25: Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups

Keywords
Associated sets Bohr group $\epsilon$-Kronecker sets FatouZygmund property $\epsilon$-free setsr Hadamard sets $I_0$ sets Sidon sets

Citation

Graham, Colin C.; Hare, Kathryn E. Characterizations of Classes of $I_0$ Sets in Discrete Abelian Groups. Rocky Mountain J. Math. 40 (2010), no. 2, 513--525. doi:10.1216/RMJ-2010-40-2-513. https://projecteuclid.org/euclid.rmjm/1273783903


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References

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