Перегляд Відділення математики за автором "Zagorodnyuk, S.M."

Результати 1-3 з 3

Integral Representations for Spectral Functions of Some Nonself-Adjoint Jacobi Matrices

Zagorodnyuk, S.M. (2009)

We study a Jacobi matrix J with complex numbers an, n belongs Z+, in the main diagonal such that r0 ≤ Im an ≤ r1, r0, r1 belongs Z+. We obtain an integral representation for the (generalized) spectral function of the matrix ...
On the Complex Symmetric and Skew-Symmetric Operators with a Simple Spectrum

Zagorodnyuk, S.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)

In this paper we obtain necessary and sufficient conditions for a linear bounded operator in a Hilbert space H to have a three-diagonal complex symmetric matrix with non-zero elements on the first sub-diagonal in an ...
The Inverse Spectral Problem for Jacobi-Type Pencils

Zagorodnyuk, S.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)

In this paper we study the inverse spectral problem for Jacobi-type pencils. By a Jacobi-type pencil we mean the following pencil J₅−λJ₃, where J₃ is a Jacobi matrix and J₅ is a semi-infinite real symmetric five-diagonal ...

Результати 1-3 з 3

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