Unbounded Self-adjoint Operators on Hilbert Space
Nonfiction, Science & Nature, Mathematics, Functional Analysis, Science, Physics, Mathematical Physics
| Author: | Konrad Schmüdgen | ISBN: | 9789400747531 |
| Publisher: | Springer Netherlands | Publication: | July 9, 2012 |
| Imprint: | Springer | Language: | English |
| Author: | Konrad Schmüdgen |
| ISBN: | 9789400747531 |
| Publisher: | Springer Netherlands |
| Publication: | July 9, 2012 |
| Imprint: | Springer |
| Language: | English |
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
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
