$${\mathfrak L}$$-Resolvent Matrices for Hamiltonian Integral Systems
Abstract
Abstract In this paper we consider a two–dimensional Hamiltonian integral system on an interval $$[ a,b )$$ [ a , b ) . We investigate the definiteness and surjectivity properties and define associated with this system the maximal $$S_{\max }$$ S max and minimal $$S_{\min }$$ S min linear relations. For an improper gauge $${\mathfrak L}$$ L , we calculate the $${\mathfrak L}$$ L -resolvent matrix and describe the set of $${\mathfrak L}$$ L -resolvents of the linear relation $$S_{\min }$$ S min in the cases when the system is either quasiregular, limit circle, or limit point at b .
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Holomorphic and Operator Theory
Differential Equations and Boundary Problems
Publication details
- Journal / source
- Complex Analysis and Operator Theory
- Volume
- 20
- Issue
- 3
- Publication date
- 1 March 2026
- Language
- EN