Unbounded Self-Adjoint Operators on Hilbert Space

The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schrodinger operators) and analysis (Dirichlet and Neumann Laplacians, Sturm-Liouville operators, Hamburger moment problem [...]
Visa längre beskrivning

The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schrodinger operators) and analysis (Dirichlet and Neumann Laplacians, Sturm-Liouville operators, Hamburger moment problem). Among others, a number of advanced special topics are treated on a text book level accompanied by numerous illustrating examples and exercises. The main themes of the book are the following: spectral integrals and spectral decompositions of self-adjoint and normal operators; perturbations of self-adjointness and of spectra of self-adjoint operators; forms and operators; self-adjoint extension theory: boundary triplets, Krein-Birman-Vishik theory of positive self-adjoint extension.