Unbounded Self-adjoint Operators on Hilbert Space

Unbounded Self-adjoint Operators on Hilbert Space
Author :
Publisher : Springer Science & Business Media
Total Pages : 435
Release :
ISBN-10 : 9789400747531
ISBN-13 : 9400747535
Rating : 4/5 (535 Downloads)

Book Synopsis Unbounded Self-adjoint Operators on Hilbert Space by : Konrad Schmüdgen

Download or read book Unbounded Self-adjoint Operators on Hilbert Space written by Konrad Schmüdgen and published by Springer Science & Business Media. This book was released on 2012-07-09 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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


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