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

Buch 117 von 180: Graduate Texts in Mathematics

Schmüdgen, Konrad

 
9789400747524: Unbounded Self-adjoint Operators on Hilbert Space (Graduate Texts in Mathematics, 265, Band 265)
Hardcover
ISBN 10: 9400747527 ISBN 13: 9789400747524
Verlag: Springer, 2012

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

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

Konrad Schmüdgen is Emeritus Professor at the Mathematical Institute of the University of Leipzig. He has worked for decades on unbounded representations and made important contributions. Among these are trace representation theorems for linear functionals, noncommutative Positivstellensätze, results on the transition probability, the theory of induced and well-behaved representations and classifications results of representations of special classes of algebras. He is the author of several books, including the Graduate Texts in Mathematics Unbounded Self-adjoint Operators on Hilbert Space (2012) and The Moment Problem (2017).

Von der hinteren Coverseite

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 diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2012
Sprache
Englisch
ISBN 10 
9400747527
ISBN 13 
9789400747524
Einband
Gebundene Ausgabe
Anzahl der Seiten
452
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Weitere beliebte Ausgaben desselben Titels

9789400797413: Unbounded Self-adjoint Operators on Hilbert Space: 265 (Graduate Texts in Mathematics)

Vorgestellte Ausgabe

ISBN 10:  9400797419 ISBN 13:  9789400797413
Verlag: Springer, 2014
Softcover