TY - BOOK

T1 - The Schur Algorithm, Reproducing Kernel Spaces and System Theory

AU - Alpay, Daniel

PY - 2001/8

Y1 - 2001/8

N2 - The same positive functions (in the sense of reproducing 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 kernel 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.

AB - The same positive functions (in the sense of reproducing 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 kernel 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.

M3 - Book

SN - 9780821821558

T3 - SMF/AMS texts and monographs

BT - The Schur Algorithm, Reproducing Kernel Spaces and System Theory

PB - American Mathematical Society

CY - Providence, R.I

ER -