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Lacunarity for Compact Groups

Let G be a compact Abelian group with character group X. A subset Δ of X is called a [unk](q) set (1 < q < ∞) if for all trigonometric polynomials f = [unk](k=1)(n) α(k)χ(k) (χ(1),...,χ(n) [unk] Δ) an inequality ∥f∥(q) [unk] [unk]∥f∥(1) obtains, where [unk] is a positive constant depending onl...

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Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Cyhoeddwyd yn:Proc Natl Acad Sci U S A
Prif Awduron: Edwards, Robert E., Hewitt, Edwin, Ross, Kenneth A.
Fformat: Artigo
Iaith:Inglês
Cyhoeddwyd: National Academy of Sciences 1971
Pynciau:
Mynediad Ar-lein:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC391093/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16591896/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.68.1.25
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