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 |
Leidėjas: | Springer Netherlands |
Išleidimo metai: | 2014 |
Knygos puslapių skaičius: | 452 |
ISBN-10: | 9400797419 |
ISBN-13: | 9789400797413 |
Formatas: | 235 x 155 x 25 mm. Knyga minkštu viršeliu |
Kalba: | Anglų |
Parašykite atsiliepimą apie „Unbounded Self-adjoint Operators on Hilbert Space“