Abstract
A Hermitian operator A with gaps ( α j , β j ) (1 ⩽ j ⩽ m ⩽ ∞) is studied. The self-adjoint extensions which put exactly k j < ∞ eigenvalues into each gap ( α j , β j ), in particular (for k j = 0, 1 ⩽ j ⩽ m) the extensions preserving the gaps, are described in terms of boundary conditions. The generalized resolvents of the extensions with the indicated properties are described also. A solvability criterion and description of all the solutions of the Hamburger moment problem with supports in R /⋃ j=1 m (α j,β j) are obtained in terms of the Nevanlinna matrix.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
