Asymptotic behavior of Patil's approximants in Hardy spaces : The real case

Details Asymptotic behavior of Patil's approximants in Hardy spaces : The real case Asymptotic behavior of Patil's approximants in Hardy spaces : The real case

2000-08-11

arxiv.org/abs/math/0008083v1

Mathematics

Complex Variables

15 pages, 1 figure, thesis

Scientific paper

In this paper we consider a robust identification problem for a linear dynamical control system with limited-frequency intervals. In mathematical terms, this is the problem of recovering functions in Hardy spaces. Our purpose is to bound Patil's approximants in the upper half plane case, out of a bounded real interval $I$. To this end, we deal with residu techniques and give a class of functions to provide boundedness of these approximants on the complement of this interval.

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