Strongly Regular J-Inner Matrix Functions and Related Problems
Дамир Зямович Аров, Harry Dym · Birkhäuser Basel eBooks · 2004
A number of characterizations of the class of strongly regular D inner matrix-valued functions and descriptions of the corresponding reproducing kernel Hilbert spaces and formulas for the reproducing kernels of these spaces are reviewed. Applications to bitangential interpolation problems, bi-tangential inverse problems for canonical integral and differential systems, J-unitary nodes and Livsic-Brodskii J-nodes are surveyed. Most of the furnished information is adapted from the papers [ArD1]—[ArD11]. However, in the last two sections, some new results are presented. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.