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A time-varying analogue of Jensen's formula
Authors:Pablo A Iglesias
Institution:(1) Electrical and Computer Engineering, The Johns Hopkins University, 3400 N. Charles Street, 21218 Baltimore, MD
Abstract:A generalization of Jensen's formula to operators associated with time-varying systems is presented. Poles and zeros of the transfer function are replaced by elements of the spectrum of two weighted shifts, one associated with the system, the other with its inverse. Exponential dichotomies, together with two operator factorizations play a key role.This work was supported in part by NSF grant ECS-9800057.
Keywords:34D09  47A62  47A68  93B15
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