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The Operator Valued Autoregressive Filter Problem and the Suboptimal Nehari Problem in Two Variables

J. S. Geronimo H. J. Woerdeman

math.FAarXiv:math/0412508

Abstract

Necessary and sufficient conditions are given for the solvability of the operator valued two-variable autoregressive filter problem. In addition, in the two variable suboptimal Nehari problem sufficient conditions are given for when a strictly contractive little Hankel has a strictly contractive symbol.

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