Sets of uniqueness and multiplicity forl p,α
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The spaces χ p,α induce a classification of the closed subsets Θ ofT, the reals modulo 1, as sets of (p,α) multiplicity (or (p, α uniqueness) as Θ is (or is not) the support of a non-zero distribdtion ψ such that ψ4 (n) ∈ χ p,α .
KeywordsPositive Integer Closed Subset Positive Measure Trigonometric Polynomial Trigonometrical Series
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- 2.J. P. Kahane and R. Salem,Ensembles parfaits et séries trigonométriques, Paris (1963).Google Scholar