Konrad Schmüdgen: Unbounded Self-Adjoint Operators on Hilbert Space, Gebunden

Klappentext

This textbook provides a modern account of the theory of unbounded selfadjoint operators on Hilbert spaces and their spectral theory, with emphasis on applications in mathematical physics (Schrödinger operators) and analysis (Dirichlet and Neumann Laplacians, Sturm--Liouville operators, and the Hamburger moment problem). The new edition has been thoroughly revised and updated and features an extensive treatment of the selfadjoint extension theory of symmetric operators. In addition, a number of advanced special topics are presented at the textbook level, accompanied by numerous illustrative examples and exercises.

The main themes of the book are:

• Basics of unbounded operators and fundamental selfadjointness criteria
• Spectral integrals, spectral theorems, and functional calculus for selfadjoint and normal operators
• Perturbations of selfadjointness and of the spectra of selfadjoint operators
• Forms and operators
• Boundary triplets
• The Krein transform and the Krein--Vishik--Birman theory of positive selfadjoint extensions

With several updates and additions, this edition further enhances an established standard reference and accessible entry point to the subject.