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Öğe Inverse problem about two-spectra for finite Jacobi matrices with zero diagonal(Walter De Gruyter Gmbh, 2016) Huseynov, AdilThe necessary and sufficient conditions for solvability of the inverse problem about two-spectra for finite order real Jacobi matrices with zero-diagonal elements are established. An explicit procedure of reconstruction of the matrix from the two-spectra is given.Öğe SPECTRAL MATRIX FOR STURM-LIOUVILLE OPERATORS ON TWO-SIDED UNBOUNDED TIME SCALES(Theta Foundation, 2013) Huseynov, AdilWe establish existence of a spectral matrix for Sturm-Liouville operators on two-sided unbounded time scales. A Parseval equality and an expansion in eigenfunctions formula are obtained in terms of the spectral matrix. Our results unify and extend the well-known results on existence of a spectral matrix for Sturm-Liouville operators on the whole real axis and their discrete analogs.
