Overview
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
Full Product Details
Author: Konrad Schmüdgen
Publisher: Springer
Imprint: Springer
Edition: 2012 ed.
Volume: 265
Dimensions:
Width: 15.50cm
, Height: 2.50cm
, Length: 23.50cm
Weight: 0.840kg
ISBN: 9789400747524
ISBN 10: 9400747527
Pages: 432
Publication Date: 07 July 2012
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Reviews
From the reviews: The book is devoted to the exposition of the theory of unbounded operators in the Hilbert space. ... book starts with a standard introduction to the theory of closed and closable operators, with an explanation of the important difference between self-adjoint and symmetric operators. ... Among the advantages of the book is the inclusion of a nice and voluminous selection of exercises. ... the book can be used for teaching a graduate course in spectral theory to students in analysis and to physicists ... . (G. V. Rozenblum, Mathematical Reviews, January, 2013) The book can be used for teaching a graduate course in spectral theory to students and is also suitable for self-study. The book consists of six parts, each of which is subdivided into several chapters, each chapter ending with a section containing exercises. ... The book concludes with appendices devoted to basic topics in analysis and the theory of bounded operators. (Michael Perelmuter, Zentralblatt MATH, Vol. 1257, 2013)
From the reviews: The book is devoted to the exposition of the theory of unbounded operators in the Hilbert space. ... book starts with a standard introduction to the theory of closed and closable operators, with an explanation of the important difference between self-adjoint and symmetric operators. ... Among the advantages of the book is the inclusion of a nice and voluminous selection of exercises. ... the book can be used for teaching a graduate course in spectral theory to students in analysis and to physicists ... . (G. V. Rozenblum, Mathematical Reviews, January, 2013)
Author Information
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"".
