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

Schmüdgen, Konrad

Softcover

ISBN 10: 9400797419 ISBN 13: 9789400797413

Publisher: Springer, 2014

Synopsis

This book explores unbounded self-adjoint operators on Hilbert space and their spectral theory, placing emphasis on applications in mathematical physics and analysis. Addresses advanced topics, and includes many examples and exercises.

About this title

From the Back Cover

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".

Edition details

• Publisher: Springer
• Publication date: 2014
• ISBN 10: 9400797419
• ISBN 13: 9789400797413
• Binding: Paperback
• Language: English
• Number of pages: 452