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Subjects
43-XX Abstract harmonic analysis
43Axx Abstract harmonic analysis
43A46 Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.)

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Harmonious Orbits of Linear Transformations.

S.G. Dani, K. Gowri Navada (1996)

Monatshefte für Mathematik

Helson sets and simultaneous extensions to Fourier transforms

Colin Graham (1972)

Studia Mathematica

How to recognize a true Σ^0_3 set

Etienne Matheron (1998)

Fundamenta Mathematicae

Let X be a Polish space, and let ${(A_{p})}_{p \in ω}$ be a sequence of $G_{δ}$ hereditary subsets of K(X) (the space of compact subsets of X). We give a general criterion which allows one to decide whether $\cup_{p \in ω} A_{p}$ is a true $\sum_{3}^{0}$ subset of K(X). We apply this criterion to show that several natural families of thin sets from harmonic analysis are true $\sum_{3}^{0}$ .

Currently displaying 1 – 3 of 3

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