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math.FA2015
A system coupling and Donoghue classes of Herglotz-Nevanlinna functions
Sergey Belyi, Konstantin Makarov, Eduard Tsekanovskii
We study the impedance functions of conservative L-systems with the unbounded main operators. In addition to the generalized Donoghue class $\sM_κ$ of Herglotz-Nevanlinna functions…
math.SP2015★ 1 cited
On dissipative and non-unitary solutions to operator commutation relations
K. A. Makarov, E. Tsekanovskii
We study the (generalized) semi-Weyl commutation relations $$ U_gAU_g^*=g(A) \quad \text{ on }\quad \Dom(A), $$ where is a densely defined operator and is a…