Applications of Factorization and Toeplitz Operators to Inverse Problems
Harry Dym, Andrei Iacob · Operator theory · 1982
A number of results in the theory of inverse problems for polynomials on the line and on the circle will be reviewed. Analogues of the methods of Gelfand-Levitan, Krein, and Marchenko will be presented with special emphasis on the role played by factorization and Toeplitz operators.