Inverse resonance scattering for Jacobi operators
نویسندگان
چکیده
منابع مشابه
Inverse spectral analysis for finite matrix-valued Jacobi operators
Consider the Jacobi operators J given by (J y)n = anyn+1+bnyn+a∗n−1yn−1, yn ∈ C (here y0 = yp+1 = 0), where bn = b ∗ n and an : det an 6= 0 are the sequences of m × m matrices, n = 1, .., p. We study two cases: (i) an = a∗n > 0; (ii) an is a lower triangular matrix with real positive entries on the diagonal (the matrix J is (2m+1)-band mp×mp matrix with positive entries on the first and the las...
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Based on high energy expansions and Herglotz properties of Green and Weyl m-functions we develop a self-contained theory of trace formulas for Jacobi operators. In addition, we consider connections with inverse spectral theory, in particular uniqueness results. As an application we work out a new approach to the inverse spectral problem of a class of reflectionless operators producing explicit ...
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ژورنال
عنوان ژورنال: Russian Journal of Mathematical Physics
سال: 2011
ISSN: 1061-9208,1555-6638
DOI: 10.1134/s1061920811040054