BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4//
BEGIN:VEVENT
UID:20250917T190508EDT-4545dM4nNA@132.216.98.100
DTSTAMP:20250917T230508Z
DESCRIPTION:Local inverse scattering at a fixed energy for radial Schroding
 er operators and localization of the Regge poles. \n\nAbstract: We study i
 nverse scattering problems at a fixed energy for radial Schrodinger operat
 ors on $\R^n$\, $n \geq 2$. First\, we consider the class $\mathcal{A}$ of
  potentials $q(r)$ which can be extended analytically in $\Re z \geq 0$ su
 ch that $\mid q(z)\mid \leq C \ (1+ \mid z \mid )^{-\rho}$\, $\rho > \frac
 {3}{2}$. If $q$ and $\tilde{q}$ are two such potentials and if the corresp
 onding phase shifts $\delta_l$ and $\tilde{\delta}_l$ are super-exponentia
 lly close\, then $q=\tilde{q}$. Secondly\, we study the class of potential
 s $q(r)$ which can be split into $q(r)=q_1(r) + q_2(r)$ such that $q_1(r)$
  has compact support and $q_2 (r) \in \mathcal{A}$. If $q$ and $\tilde{q}$
  are two such potentials\, we show that for any fixed $a>0$\, ${\ds{\delta
 _l - \tilde{\delta}_l \ = \ o \left( \frac{1}{l^{n-3}} \ \left( {\frac{ae}
 {2l}}\right)^{2l}\right)}}$ when $l \rightarrow +\infty$ if and only if $q
 (r)=\tilde{q}(r)$ for almost all $r \geq a$. The proofs are close in spiri
 t with the celebrated Borg-Marchenko uniqueness theorem\, and rely heavily
  on the localization of the Regge poles. This is a joint work with Thierry
  Daude (Universite de Cergy-Pontoise).\n\n \n
DTSTART:20170616T173000Z
DTEND:20170616T183000Z
LOCATION:room 1214\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Francois Nicoleau (Nantes) 
URL:/mathstat/channels/event/francois-nicoleau-nantes-
 268545
END:VEVENT
END:VCALENDAR