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A REVISED DUALITY PROOF OF SAMPLING LOCALIZATION IN RELAXATION SPECTRUM RECOVERY

Part of: Distributions, generalized functions, distribution spaces Foundations, constitutive equations, rheology Integral equations, integral transforms

Published online by Cambridge University Press:  09 February 2009

R. J. LOY ,
A. R. DAVIES  and
R. S. ANDERSSEN
R. J. LOY
Affiliation:
Department of Mathematics, Mathematical Sciences Institute, Australian National University, Canberra, ACT 0200, Australia (email: rick.loy@maths.anu.edu.au)
A. R. DAVIES
Affiliation:
School of Mathematics, Cardiff University, Senghennydd Road, Cardiff, CF24 4AG, Wales, UK (email: daviesr@cardiff.ac.uk)
R. S. ANDERSSEN*
Affiliation:
CSIRO Mathematical and Information Sciences, GPO Box 664, Canberra ACT 2601, Australia (email: bob.anderssen@csiro.au)
*
✉For correspondence; e-mail: bob.anderssen@csiro.au
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Abstract

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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

relaxation spectrum recoverysampling localizationregularizationduality

MSC classification

Secondary: 76A05: Non-Newtonian fluids 46F12: Integral transforms in distribution spaces 65R32: Inverse problems

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 79 , Issue 1 , February 2009 , pp. 79 - 83
Copyright
Copyright © Australian Mathematical Society 2009

References

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