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The failure of factorization of positive matrix functions on noncircular contours

✍ Scribed by Alexander Markus; Vladimir Matsaev


Book ID
107826737
Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
338 KB
Volume
208-209
Category
Article
ISSN
0024-3795

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Let X X T 2 3 w x C be a positive hermitian X P 0 matrix-valued function on the bitorus with T 2 log det X b Γ€I and T 2 kXk `I. Then X is the v 1 -limit of p j p Γƒ j , where p j is a x Γ‚ x j rectangular bi-analytic matrix function. A continuous and strictly positive hermitian X X T 2 3 w x may be fa