Classes of pairs of meromorphic matrix valued functions generated by nonnegative kernels and associated Nevanlinna-Pick problems |
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Authors: | D. Alpay V. Bolotnikov |
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Affiliation: | (1) Department of Mathematics, Ben-Gurion University of the Negev, POB 653, 84105 Beer-Sheva, Israel |
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Abstract: | Families of pairs of matrix-valued meromorphic functions(,P) depending on two parameters andP are introduced. They are the projective analogues of classes of functions studied in [1] and include as special cases the projective Schur, Nevanlinna and Carathéodory classes. A two sided Nevanlinna-Pick interpolation problem is defined and solved in(,P), using the fundamental matrix inequality method. |
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Keywords: | 30E05 47A57 |
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