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

• Дата: 2009
• Автор: Zagorodnyuk, S.M.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2009
• Онлайн доступ: http://dspace.nbuv.gov.ua/handle/123456789/5696
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Integral representations for spectral functions of some nonself-adjoint Jacobi matrices / S.M. Zagorodnyuk // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 1. — С. 91-100. — Бібліогр.: 7 назв. — англ.

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 J. Themethod of our study is similar to Marchenko’s method for nonself-adjoi...