@book{bdeca7d50db0431e8ab341ef3f9ade32,

title = "The Schur Algorithm, Reproducing Kernel Spaces, and System Theory",

abstract = "The same positive functions (in the sense of reproduction kernel spaces) appear in a natural way in two different domains, namely the modeling of time-invariant dissipative linear systems and the theory of linear operators. We use the associated reproducing kernal Hilbert spaces to study the relationships between these domains. The inverse scattering problem plays a key role in the exposition. The reproducing kernel approach allows us to tackle in a natural way more general cases, such as nonstationary systems, the case of a non-positive metric and the case of pairs of commuting nonself-adjoint operators.",

author = "Daniel Alpay and Wilson, {Stephen S.}",

year = "2001",

language = "English",

isbn = "0821821555",

series = "SMF/AMS texts and monographs",

publisher = "American Mathematical Society",

address = "United States",

}