Unbounded self-adjoint operators on hilbert space / Konrad Schmüdgen.
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 proble...
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Full Text (via Springer) |
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| Main Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht ; New York :
Springer,
©2012.
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| Series: | Graduate texts in mathematics ;
265. |
| Subjects: |
Table of Contents:
- Part 1. Basics of Closed Operators
- Closed and Adjoint Operators
- The Spectrum of a Closed Operator
- Some Classes of Unbounded Operators-- Part 2. Spectral Theory
- Spectral Measures and Spectral Integrals
- Spectral Decompositions of Self-adjoint and Normal Operators-- Part 3. Special Topics
- One-Parameter Groups and Semigroups of Operators
- Miscellanea-- Part 4. Perturbations of Self-Adjointness and Spectra
- Perturbations of Self-adjoint Operators
- Trace Class Perturbations of Spectra of Self-adjoint Operators-- Part 5. Forms and Operators
- Semibounded Forms and Self-adjoint Operators
- Sectorial Forms and m-Sectorial Operators
- Discrete Spectra of Self-adjoint Operators-- Part 6. Self-adjoint Extension Theory of Symmetric Operators
- Self-adjoint Extensions: Cayley Transform and Krein Transform
- Self-adjoint Extensions: Boundary Triplets
- Sturm-Liouville Operators
- The One-Dimensional Hamburger Moment Problem.