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Geometry of Optimal Decomposition for the Couple (2, X) on Rn
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-8188-7672
2013 (English)Report (Other academic)
Abstract [en]

We investigate the geometry of optimal decomposition for the L– functional

where space ℓ2 is defined by the standard Euclidean norm  and where X is a Banach space on Rn and t is a given positive parameter. Our proof is based on some geometrical considerations and Yves Meyer’s duality approach which was considered for the couple (L2, BV) in connection with the famous in image processing ROF denoising model. Our goal is also to investigate possibility to extend Meyer’s approach to more general couples than (L2, BV) . 

Place, publisher, year, edition, pages
Linköping, 2013. , 12 p.
LiTH-MAT-R, ISSN 0348-2960 ; 6
National Category
URN: urn:nbn:se:liu:diva-94145ISRN: LiTH-MAT-R--2013/06--SEOAI: diva2:629624
Available from: 2013-06-17 Created: 2013-06-17 Last updated: 2014-05-27

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Niyobuhungiro, Japhet
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Mathematics and Applied MathematicsThe Institute of Technology

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