Unbounded Self-adjoint Operators on Hilbert Space

Konrad Schmüdgen

ISBN 10: 9400797419 / ISBN 13: 9789400797413

Verlag: Springer Netherlands, Springer Netherlands, 2014

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - 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.

Bestandsnummer des Verkäufers 9789400797413

Bibliografische Details

• Titel: Unbounded Self-adjoint Operators on Hilbert Space
• Verlag: Springer Netherlands, Springer Netherlands
• Veröffentlichungsdatum: 2014
• Sprache: Englisch
• ISBN-10: 9400797419
• ISBN-13: 9789400797413
• Bindung: Taschenbuch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

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