A note on integer translates of a square integrable function on ℝ
Maciej Paluszyński
Colloquium Mathematicae, Tome 120 (2010), p. 593-597 / Harvested from The Polish Digital Mathematics Library
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We consider the subspace of L²(ℝ) spanned by the integer shifts of one function ψ, and formulate a condition on the family ψ(·-n)n=-∞∞, which is equivalent to the weight function ∑n=-∞∞|ψ̂(·+n)|² being > 0 a.e.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:286373 
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     title = {A note on integer translates of a square integrable function on $\mathbb{R}$},
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     year = {2010},
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Maciej Paluszyński. A note on integer translates of a square integrable function on ℝ. Colloquium Mathematicae, Tome 120 (2010) pp. 593-597. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm118-2-15/