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Unbounded Self-adjoint Operators on Hilbert Space (Paperback, 2012 ed.)
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Unbounded Self-adjoint Operators on Hilbert Space (Paperback, 2012 ed.)
Series: Graduate Texts in Mathematics, 265
Expected to ship within 10 - 15 working days
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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, Schroedinger
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
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