Laurent Series for the Inversion of Perturbation Operators on Hilbert Space
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چکیده
The paper studies the perturbation operators on Hilbert spaces which depend on complex parameter. Linear, polynomial and analytical perturbations are considered. It is demonstrated that polynomial and analytical perturbations can be transformed to the case of linear perturbed operators in augmented space. Then, the generalization of an eecient algorithm of Schweitzer and Stewart can be applied to obtain a Laurent expansion for the inverse of perturbed operators.
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تاریخ انتشار 1999