Abstract
We consider general (not necessarily Hamiltonian) first-order symmetric sys- tem JyB(t)y = �(t)f(t) on an interval I = (a,b) with the regular endpoint a. A distribution matrix-valued function �(s), s 2 R, is called a spectral (pseudospectral) function of such a system if the corresponding Fourier transform is an isometry (resp. partial isometry) from L2 (I) into L 2(�). The main result is a parametrization of all spectral and pseudospectral functions of a given system by means of a Nevanlinna bound- ary parameter �. Similar parameterizations for various classes of boundary problems have earlier been obtained by Kac and Krein, Fulton, Langer and Textorius, Sakhnovich and others.
Sign-in/Register to access full text options 
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.
