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تسجيل مستخدم جديدInverse spectral results for Schrodinger operators on the unit interval with potentials in L^P spaces
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تأليف
Laurent Amour
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We consider the Schrodinger operator on $[0,1]$ with potential in $L^1$. We prove that two potentials already known on $[a,1]$ ($ain(0,{1/2}]$) and having their difference in $L^p$ are equal if the number of their common eigenvalues is sufficiently large. The result here is to write down explicitly this number in terms of $p$ (and $a$) showing the role of $p$.
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