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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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Two examples of subspaces in $L^{2 l}$ spanned by characters of finite order

Mats Erik Andersson (2001)

Colloquium Mathematicae

By a Fourier multiplier technique on Cantor-like Abelian groups with characters of finite order, the norms from L² into $L^{2 l}$ of certain embeddings of character sums are computed. It turns out that the orders of the characters are immaterial as soon as they are at least four.

Two random constructions inside lacunary sets

Stefan Neuwirth (1999)

Annales de l'institut Fourier

We study the relationship between the growth rate of an integer sequence and harmonic and functional properties of the corresponding sequence of characters. In particular we show that every polynomial sequence contains a set that is $Λ (p)$ for all $p$ but is not a Rosenthal set. This holds also for the sequence of primes.

Currently displaying 21 – 22 of 22

Previous Page 2

Displaying 21 – 22 of 22

Two examples of subspaces in L 2 l spanned by characters of finite order

Two random constructions inside lacunary sets

Currently displaying 21 – 22 of 22

Two examples of subspaces in $L^{2 l}$ spanned by characters of finite order