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Revista Matemática Iberoamericana
Article . 2016 . Peer-reviewed
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zbMATH Open
Article . 2016
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https://dx.doi.org/10.4171/rmi...
Article
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Claim

Combining Riesz bases in $\mathbb R^d$

Combining Riesz bases in \(\mathbb{R}^d\)
descriptionPublicationkeyboard_double_arrow_right Article 16 Dec 2016Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Revista Matemática Iberoamericana, volume 32, pages 1,393-1,406 (issn: 0213-2230, eissn: 2235-0616, Copyright policy )
Authors: Gady Kozma; Shahaf Nitzan;

doi: 10.4171/rmi/922

Combining Riesz bases in $\mathbb R^d$

Abstract

We prove that every finite union of rectangles with edges parallel to the axes in \mathbb R^d admits a Riesz basis of exponentials.

Related Organizations
Keywords

Summability and bases in topological vector spaces, exponential Riesz basis, General harmonic expansions, frames, exponential bases for union of rectangles

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 18
    popularity
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    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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Powered by OpenAIRE graph
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
18
Top 10%
Top 10%
Average
gold