3 papers
math.CV2021
Uniqueness theorems for meromorphic inner functions and canonical systems
Burak Hatinoğlu
We prove 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, deri…
math.SP2021
Ambarzumian-type problems for discrete Schrödinger operators
Jerik Eakins, William Frendreiss, Burak Hatinoğlu +3
We discuss the problem of unique determination of the finite free discrete Schrödinger operator from its spectrum, also known as Ambarzumian problem, with various boundary conditio…
math.SP2019
Inverse Problems for Jacobi Operators with Mixed Spectral Data
Burak Hatinoğlu
We consider semi-infinite Jacobi matrices with discrete spectrum. We prove that the Jacobi operator can be uniquely recovered from one spectrum and subsets of another spectrum and…