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UID:8137@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20150316T100000
DTEND;TZID=Europe/Paris:20150316T110000
DTSTAMP:20241120T210041Z
URL:https://www.i2m.univ-amu.fr/evenements/uniqueness-theorem-for-discrete
 -schrodinger-equations/
SUMMARY:Yurii Lyubarskii (Dept. of Mathematical Sciences\, NTNU\, Norway): 
 Uniqueness theorem for discrete Schrödinger equations
DESCRIPTION:Yurii Lyubarskii: We prove that if a solution of the discrete t
 ime-dependent Schrödinger equation with bounded real potential decays fas
 t at two distinct times then the solution is trivial. For the free Shrödi
 nger operator and for operators with compactly supported time-independent 
 potentials a sharp analog of the Hardy uncertainty principle is obtained\,
  using an argument based on the theory of entire functions. Logarithmic co
 nvexity of weighted norms is employed in the case of general real-valued t
 ime-dependent bounded potentials. In the latter case the result is not opt
 imal.\nhttps://arxiv.org/abs/1505.05398\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Yurii_Lyubarskii.jpg
CATEGORIES:Séminaire,Analyse et Géométrie
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DTSTART:20141026T020000
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