Mathematics – Classical Analysis and ODEs
Scientific paper
2009-01-09
Complex Anal. Oper. Theory (2010) 4: 701-765
Mathematics
Classical Analysis and ODEs
Second version, corrected typos, changed subsection 5.6, 47 pages
Scientific paper
10.1007/s11785-009-0031-3
Bitangential interpolation problems in the class of matrix valued functions in the generalized Schur class are considered in both the open unit disc and the open right half plane, including problems in which the solutions is not assumed to be holomorphic at the interpolation points. Linear fractional representations of the set of solutions to these problems are presented for invertible and singular Hermitian Pick matrices. These representations make use of a description of the ranges of linear fractional transformations with suitably chosen domains that was developed in a previous paper.
Derkach Vladimir
Dym Harry
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