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1.
  • Zoller, P, et al. (författare)
  • Quantum information processing and communication - Strategic report on current status, visions and goals for research in Europe
  • 2005
  • Ingår i: European Physical Journal D. Atomic, Molecular, Optical and Plasma Physics. - : Springer Science and Business Media LLC. - 1434-6060 .- 1434-6079. ; 36:2, s. 203-228
  • Tidskriftsartikel (refereegranskat)abstract
    • We present an excerpt of the document "Quantum Information Processing and Communication: Strategic report on current status, visions and goals for research in Europe", which has been recently published in electronic form at the website of FET (the Future and Emerging Technologies Unit of the Directorate General Information Society of the European Commission, http://www.cordis.lu/ist/fet/qipc-sr.htm). This document has been elaborated, following a former suggestion by FET, by a committee of QIPC scientists to provide input towards the European Commission for the preparation of the Seventh Framework Program. Besides being a document addressed to policy makers and funding agencies (both at the European and national level), the document contains a detailed scientific assessment of the state-of-the-art, main research goals, challenges, strengths, weaknesses, visions and perspectives of all the most relevant QIPC sub-fields, that we report here.
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2.
  • Benguria, Rafael D., et al. (författare)
  • The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three dimensional upper half-space
  • 2008
  • Ingår i: Mathematical Research Letters. - 1073-2780 .- 1945-001X. ; 15:4, s. 613-622
  • Tidskriftsartikel (refereegranskat)abstract
    • It is shown that the sharp constant in the Hardy-Sobolev-Maz'ya inequality on the upper half space H-3 subset of R-3 is given by the Sobolev constant. This is achieved by a duality argument relating the problem to a Hardy-Littlewood-Sobolev type inequality whose sharp constant is determined as well.
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