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

Schmüdgen, Konrad

ISBN 10: 9400747527 / ISBN 13: 9789400747524

Published by Springer, 2012

About this Item

Seller Inventory # I-9789400747524

Bibliographic Details

• Title: Unbounded Self-adjoint Operators on Hilbert Space (Graduate Texts in Mathematics, 265)
• Publisher: Springer
• Publication Date: 2012
• Language: English
• ISBN 10: 9400747527
• ISBN 13: 9789400747524
• Binding: Hardcover
• Condition: New

About this title

Synopsis

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

About the Author

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."