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丛 书 名:Graduate Texts in Mathematics
版本说明:1
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