Matrix functions with arbitrarily prescribed left and right partial indices
Tóm tắt
We prove that ifn≥2 and ϱ, χ are two given vectors inZ
n, then there exists a matrix function inL
∞
n×n
(T) which has a right Wiener-Hopf factorization inL
2 with the partial indices ϱ and a left Wiener-Hopf factorization inL
2 with the partial indices χ.
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