Planar Least-Squares Inverse Polynomials. Part II: Asymptotic Behavior
- 1 September 1980
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Algebraic Discrete Methods
- Vol. 1 (3), 336-344
- https://doi.org/10.1137/0601038
Abstract
This paper contains a study of the limit function $a ( z_1 ,z_2 )$ of the PLSI polynomials relative to a given $H_2 $-function $b( z_1 ,z_2 )$. It is shown that $a ( z_1 ,z_2 )$ is analytic in the unit bicylinder, and that $b ( z_1 ,z_2 )$ admits a canonical weakly inner-strongly outer factorization if and only if $a( z_1 ,z_2 )$ enjoys a well-defined property of stability. The theory is illustrated by a detailed example.
Keywords
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