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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, Schrödinger� 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: br- Spectral integrals and� spectral decompositions of self-adjoint and normal operators br- Perturbations of self-adjointness and of spectra of self-adjoint operators br- Forms and operators br- Self-adjoint extension theory :boundary triplets, Krein-Birman-Vishik theory of positive self-adjoint extension