Get Unbounded Self-adjoint Operators on Hilbert Space (Graduate Texts in Mathematics)
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Book Details :
Published on: 2012-07-07
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Original language: English
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 Graduate Texts in Mathematics - Wikipedia Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag. The books in this series ... Hilbert space - Wikipedia The mathematical concept of a Hilbert space named after David Hilbert generalizes the notion of Euclidean space. It extends the methods of vector algebra and ...
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