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Riesz basis of exponentials for a union of cubes in R^{d}

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arxiv math/0601288 v1 pith:HNTEYWLA submitted 2006-01-12 math.FA math.GM

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keywords basisexponentialsrieszunioncubesdimensionsequalsexistence
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We extend to several dimensions the result of K. Seip and Y.I. Lyubarskii that proves the existence of Riesz basis of exponentials for a finite union of intervals with equals lengths.

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  1. On exponential frames near the critical density

    math.CA 2024-11 conditional novelty 7.0 of 10

    For any compact set Ω and any ε>0, there is a discrete set Λ of density at most (1+ε)|Ω| such that the exponential system on Λ is a frame for L2(Ω) with frame bounds depending only on ε.

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