15 citations · 31 across the 5 of their papers we have counts for
5 papers
Resolvent and spectrum for discrete symplectic systems in the limit point case
Petr Zemánek
The spectrum of an arbitrary self-adjoint extension of the minimal linear relation associated with the discrete symplectic system in the limit point case is completely characterize…
Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter
Petr Zemánek
Eigenfunctions expansion for discrete symplectic systems on a finite discrete interval is established in the case of a general linear dependence on the spectral parameter as a sign…
The Friedrichs extension of a class of discrete symplectic systems
Petr Zemánek
The Friedrichs extension of minimal linear relation being bounded below and associated with the discrete symplectic system with a special linear dependence on the spectral paramete…
On discrete symplectic systems: Associated maximal and minimal linear relations and nonhomogeneous problems
Stephen Clark, Petr Zemánek
In this paper we characterize the definiteness of the discrete symplectic system, study a nonhomogeneous discrete symplectic system, and introduce the minimal and maximal linear re…
Characterization of self-adjoint extensions for discrete symplectic systems
Petr Zemánek, Stephen Clark
All self-adjoint extensions of minimal linear relation associated with the discrete symplectic system are characterized. Especially, for the scalar case on a finite discrete interv…