Inverse scattering with fixed energy and an inverse eigenvalue problem on the half-line
نویسندگان
چکیده
منابع مشابه
Inverse Scattering with Fixed Energy and an Inverse Eigenvalue Problem on the Half-line
Recently A. G. Ramm (1999) has shown that a subset of phase shifts δl, l = 0, 1, . . ., determines the potential if the indices of the known shifts satisfy the Müntz condition ∑ l =0,l∈L 1 l = ∞. We prove the necessity of this condition in some classes of potentials. The problem is reduced to an inverse eigenvalue problem for the half-line Schrödinger operators.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2006
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-06-03996-1