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Titlebook: Recent Advances in Operator Theory; The Israel Gohberg A A. Dijksma,M. A. Kaashoek,A. C. M. Ran Conference proceedings 2001 Birkhäuser Verl

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楼主: CT951
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About Scattering on the Ring, resonance case when the Fermi level in the rays coincides with one of eigenvalues of the nonperturbed Schrödinger operator on the ring. An explicit expression is obtained for the scattering matrix in the resonance case for weakening connection . → 0 between the rays and the compact part.
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Scattering of Waves by Periodic Gratings and Factorization Problems,on a Hilbert space. The solvability of such equations with radiation conditions at the infinity is based on the factorization of the operator symbol of the equation. This approach is general and allows, in particular, to solve the scattering problem of a space wave in ℝ..
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Multithreshold Spectral Phase Transitions for a Class of Jacobi Matrices, . belongs to the absolutely continuous spectrum of .. or not, the spectrum of . + . is either pure absolutely continuous or discrete. This gives us a class of examples with multithreshold spectral phase transition phenomena.
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On the Spectral Theory of Degenerate Quadratic Operator Pencils, from below and has a compact resolvent. Such pencils naturally arise in stability problems of mechanics and resistive magnetohydrodynamics. Under certain assumptions on . and . the description of the spectrum of the pencil . is given.
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