M. S. Derevyagin
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Methods Funct. Anal. Topology 12 (2006), no. 3, 220-233
The paper deals with two types of inverse spectral problems for the class of generalized Jacobi matrices introduced in . Following the scheme proposed in , we deduce analogs of the Hochstadt--Lieberman theorem and the Borg theorem. Properties of a Weyl function of the generalized Jacobi matrix are systematically used to prove the uniqueness theorems. Trace formulas for the generalized Jacobi matrix are also derived.
Methods Funct. Anal. Topology 9 (2003), no. 2, 133-145