A time-varying analogue of Jensen's formula

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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.

Original languageEnglish (US)
Pages (from-to)34-51
Number of pages18
JournalIntegral Equations and Operator Theory
Volume40
Issue number1
DOIs
StatePublished - May 1 2001

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ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

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