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
| Autorius: | Konrad Schmüdgen |
| Serija: | Graduate Texts in Mathematics |
| Leidėjas: | Springer Netherlands |
| Išleidimo metai: | 2012 |
| Knygos puslapių skaičius: | 452 |
| ISBN-10: | 9400747527 |
| ISBN-13: | 9789400747524 |
| Formatas: | 241 x 160 x 28 mm. Knyga kietu viršeliu |
| Kalba: | Anglų |
Parašykite atsiliepimą apie „Unbounded Self-adjoint Operators on Hilbert Space“
