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- W2051491633 abstract "We identify the set of extreme points and apply Choquet theory to a normalized matrix-measure ball subject to finitely many linear side constraints. As an application we obtain integral representation formulas for the Herglotz class of matrix-valued functions on a finitely-connected planar domain and associated continuous Agler decompositions for the matrix-valued Schur class over the domain. The results give some additional insight into the negative answer to the spectral set problem over such domains recently obtained by Agler-Harland-Raphael and Dritschel-McCullough." @default.
- W2051491633 created "2016-06-24" @default.
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- W2051491633 date "2011-09-17" @default.
- W2051491633 modified "2023-09-27" @default.
- W2051491633 title "Convexity analysis and matrix-valued Schur class over finitely connected planar domains" @default.
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