Restricted interpolation by meromorphic inner functions

@article{Poltoratski2016RestrictedIB,
  title={Restricted interpolation by meromorphic inner functions},
  author={Alexei Poltoratski and Rishika Rupam},
  journal={Concrete Operators},
  year={2016},
  volume={3},
  pages={102 - 111}
}
Abstract Meromorphic Inner Functions (MIFs) on the upper half plane play an important role in applications to spectral problems for differential operators. In this paper, we survey some recent results concerning function theoretic properties of MIFs and show their connections with spectral problems for the Schrödinger operator. 
Uniqueness theorems for meromorphic inner functions
We prove some uniqueness problems for meromorphic inner functions on the upper half-plane. In these problems we consider spectral data depending partially or fully on the spectrum, derivative values
O ct 2 02 1 UNIQUENESS THEOREMS FOR MEROMORPHIC INNER FUNCTIONS
  • Mathematics
  • 2021
We prove some uniqueness problems for meromorphic inner functions on the upper half-plane. In these problems we consider spectral data depending partially or fully on the spectrum, derivative values

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