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Includes important topics which are not yet or not completely presented in a text book
Numerous well-choosen examples and exercises help the reader to learn dealing with unbounded operators
Treats unbounded self-adjoint operators with the emphasis on applications in mathematical physics
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: - 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
Content Level »Graduate
Keywords »Banach space - Hamburger moment problem - Hilbert space - Perturbation of self-adjointness - Schrödinger operators - Self-adjoint extension theory - Self-adjoint operators - Spectral theory - Sturm-Liouville operators