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Catalogue Information
Field name	Details
Dewey Class	515.7246
Title	Unbounded Self-adjoint Operators on Hilbert Space ([Ebook]) / by Konrad Schmüdgen
Author	Schmüdgen, Konrad
Other name(s)	SpringerLink (Online service)
Publication	Dordrecht : Springer Netherlands
Publication	, 2012.
Physical Details	XX, 432 pages : 2 illus. : online resource.
Series	Graduate texts in mathematics 0072-5285 ; ; 265
ISBN	9789400747531
Summary Note	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:
Contents note	I Basics onClosed Operators -- 1 Closed Operators and Adjoint Operators -- 2 Spectrum of Closed Operators -- 3 Some Classes of Unbounded Operators -- II Spectral Theory -- 4 Spectral Measures and Spectral Integrals -- 5 Spectral Decomposition of Selfadjoint and Normal Operators -- III Special Topics -- 6 One-Parameter Groups and Semigroups of Operators -- 7 Miscellaneous -- IV Petirbations of Selfadjointness and of Spectra of Selfadjoint Operators -- 8 Perturbations of Selfadjoint Operators -- 9 Trace Class Perturbations of Spectra of Selfadjoint Operators -- V Forms and Operators -- 10 Semibounded Forms and Selfadjoint Operators -- 11 Sectorial Forms and m-Sectorial Operators -- 12 Discrete Spectrum of Selfadjoint Operators -- VI Selfadjoint Extention Theory of Symmetric Operators -- 13 Selfajoint Extensions: Cayley Transform and Krein Transform -- 14 Selfadjoint Extensions: Boundary Triplets -- 15 Sturm-Liouville Operators -- One-Dimensional Moment Problem.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-94-007-4753-1
Links to Related Works	Subject References: Functional Analysis . Mathematical Methods in Physics . Mathematical Physics . Mathematics . Operator Theory . Theoretical, Mathematical and Computational Physics . Authors: Schmüdgen, Konrad . Corporate Authors: SpringerLink (Online service) . Series: Graduate texts in mathematics . GTM . Classification: 515.7246 . 515.7246 (DDC 23) .

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Unbounded Self-adjoint Operators on Hilbert Space

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