Please use this identifier to cite or link to this item: https://doi.org/10.1006/jmaa.2001.7479
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dc.titleStability of the shifts of global supported distributions
dc.contributor.authorSun, Q.
dc.date.accessioned2014-10-28T02:46:16Z
dc.date.available2014-10-28T02:46:16Z
dc.date.issued2001-09-01
dc.identifier.citationSun, Q. (2001-09-01). Stability of the shifts of global supported distributions. Journal of Mathematical Analysis and Applications 261 (1) : 113-125. ScholarBank@NUS Repository. https://doi.org/10.1006/jmaa.2001.7479
dc.identifier.issn0022247X
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/104190
dc.description.abstractFor a tempered distribution with ℓ1 decay, we characterize its stable shifts via its Fourier transform and via a shift-invariant space of summable sequences. Also we show that if the tempered distribution with ℓ1 decay has stable shifts, then we can recover all distributions in V∞, the space of all linear combinations of its shifts using bounded sequences, in a stable way using C∞ dual functions with ℓ1 decay at infinity. If, additionally, that tempered distribution is compactly supported, then the above C∞ dual functions can be chosen to have exponential decay at infinity. © 2001 Academic Press.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1006/jmaa.2001.7479
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1006/jmaa.2001.7479
dc.description.sourcetitleJournal of Mathematical Analysis and Applications
dc.description.volume261
dc.description.issue1
dc.description.page113-125
dc.identifier.isiut000170753000010
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