Hilbert Space, Boundary Value Problems and Orthogonal Polynomials

This monograph consists of three parts: the abstract theory of Hilbert spaces, leading up to the spectral theory of unbounded self-adjoined operators; the application to linear Hamiltonian systems, giving the details of the spectral resolution; and further applications such as orthogonal polynomials and Sobolev differential operators. Written in textbook style, the volume is geared towards graduate and postgraduate students and researchers interested in boundary value problems of linear differential equations or in orthogonal polynomials.