Sets of uniqueness and multiplicity for l p,α

I. I. Hirschman; Y. Katznelson

doi:10.1007/BF03008400

Sets of uniqueness and multiplicity for l^p,α

I. I. Hirschman^*
, Y. Katznelson

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

The spaces χ^p,α induce a classification of the closed subsets Θ of T, 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 .

Original language	English
Pages (from-to)	221-231
Number of pages	11
Journal	Israel Journal of Mathematics
Volume	3
Issue number	4
DOIs	https://doi.org/10.1007/BF03008400
State	Published - Dec 1965
Externally published	Yes

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title = "Sets of uniqueness and multiplicity for l p,α",

abstract = "The spaces χ p,α induce a classification of the closed subsets Θ of T, 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 .",

author = "Hirschman, \{I. I.\} and Y. Katznelson",

year = "1965",

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AU - Hirschman, I. I.

AU - Katznelson, Y.

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N2 - The spaces χ p,α induce a classification of the closed subsets Θ of T, 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 .

AB - The spaces χ p,α induce a classification of the closed subsets Θ of T, 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 .

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JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 4

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Sets of uniqueness and multiplicity for l^p,α

Abstract

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