Abstract.
This paper is concerned with the solution of a certain tangential Nevanlinna-Pick interpolation for Nevanlinna functions. We use the so-called block Hankel vector method to establish two intrinsic connections between the tangential Nevanlinna-Pick interpolation in the Nevanlinna class and the truncated Hamburger matrix moment problem associated with the block Hankel vector under consideration: one is a congruent relationship between their information matrices, and the other is a divisor-remainder connection between their solutions. These investigations generalize our previous work on the Nevanlinna-Pick interpolation and power matrix moment problem.
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Hu, YJ., Yang, ZH. & Chen, GN. Tangential Nevanlinna-Pick Interpolation and Its Connection with Hamburger Matrix Moment Problem. Integr. equ. oper. theory 49, 445–460 (2004). https://doi.org/10.1007/s00020-002-1211-y
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DOI: https://doi.org/10.1007/s00020-002-1211-y