Unbounded Self-adjoint Operators on Hilbert Space

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Unbounded Self-adjoint Operators on Hilbert Space

種類:

電子ブック

責任表示:

by Konrad Schmüdgen

出版情報:

Dordrecht : Springer Netherlands : Imprint: Springer, 2012

著者名:

シリーズ名:

Graduate Texts in Mathematics ; 265

ISBN:

9789400747531 [9400747535]

ローカル注記:

学内専用E-BOOKS (local access only)

オンライン

http://dx.doi.org/10.1007/978-94-007-4753-1

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詳細

主題:

Functional Analysis; Mathematical Methods in Physics; Mathematical Physics; Mathematics; Operator Theory; Theoretical, Mathematical and Computational Physics

分類・件名:

DC23 : 515.7
LCSH : Mathematics
LCSH : Functional analysis
LCSH : Operator theory
LCSH : Mathematical physics
FREE : Mathematics
FREE : Functional Analysis
FREE : Mathematical Methods in Physics
FREE : Operator Theory
FREE : Mathematical Physics
FREE : Theoretical, Mathematical and Computational Physics

形態:

XX, 432 p. 2 illus : digital

目次情報:

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

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

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書誌ID:

KB00009974

内容紹介

目次情報

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