Unbounded Self-Adjoint Operators on Hilbert Space

丛 书 名：Graduate Texts in Mathematics

版本说明：1

作     者：Schmuedgen, Konrad 

I S B N：(纸本) 9789400747524 

出 版 社：Springer Netherlands 

出 版 年：2012年

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

馆 藏 号：201993146...

摘      要：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, Schrodinger 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