A revised duality proof of sampling localization in relaxation spectrum recovery

R. J. Loy; A. R. Davies; R. S. Anderssen

doi:10.1017/S0004972708001044

A revised duality proof of sampling localization in relaxation spectrum recovery

R. J. Loy
, A. R. Davies
, R. S. Anderssen

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

2 Citations (Scopus)

Abstract

The duality proof of sampling localization given by Loy, Newbury, Anderssen and Davies in 2001 contains an oversight, as the classes of functions chosen do not assume the compact support. Here, it is shown how a minor change to the argument there yields a precise conclusion.

Original language	English
Pages (from-to)	79-83
Number of pages	5
Journal	Bulletin of the Australian Mathematical Society
Volume	79
Issue number	1
DOIs	https://doi.org/10.1017/S0004972708001044
Publication status	Published - Feb 2009

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title = "A revised duality proof of sampling localization in relaxation spectrum recovery",

abstract = "The duality proof of sampling localization given by Loy, Newbury, Anderssen and Davies in 2001 contains an oversight, as the classes of functions chosen do not assume the compact support. Here, it is shown how a minor change to the argument there yields a precise conclusion.",

keywords = "duality, regularization, relaxation spectrum recovery, sampling localization",

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AU - Davies, A. R.

AU - Anderssen, R. S.

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N2 - The duality proof of sampling localization given by Loy, Newbury, Anderssen and Davies in 2001 contains an oversight, as the classes of functions chosen do not assume the compact support. Here, it is shown how a minor change to the argument there yields a precise conclusion.

AB - The duality proof of sampling localization given by Loy, Newbury, Anderssen and Davies in 2001 contains an oversight, as the classes of functions chosen do not assume the compact support. Here, it is shown how a minor change to the argument there yields a precise conclusion.

KW - duality

KW - regularization

KW - relaxation spectrum recovery

KW - sampling localization

UR - https://www.scopus.com/pages/publications/77957228586

U2 - 10.1017/S0004972708001044

DO - 10.1017/S0004972708001044

M3 - Article

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VL - 79

SP - 79

EP - 83

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 1

ER -

A revised duality proof of sampling localization in relaxation spectrum recovery

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