Unbounded Self-adjoint Operators on Hilbert Space (Graduate Texts in Mathematics, 265)

Schmüdgen, Konrad

ISBN 10: 9400747527 / ISBN 13: 9789400747524

Verlag: Springer, 2012

Beschreibung

Bestandsnummer des Verkäufers I-9789400747524

Bibliografische Details

• Titel: Unbounded Self-adjoint Operators on Hilbert Space (Graduate Texts in Mathematics, 265)
• Verlag: Springer
• Veröffentlichungsdatum: 2012
• Sprache: Englisch
• ISBN-10: 9400747527
• ISBN-13: 9789400747524
• Bindung: Hardcover
• Zustand: New

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

Über die Autorin bzw. den Autor

Schmuedgen is professor at the Mathematics Department of the University of Leipzig. Prof. Pavel Exner wrote about him: "In the eighties he was regarded at the Leipzig University as a rising star and the most gifted in the mathematical physics group".