Unbounded Self-Adjoint Operators on Hilbert Space
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Overview
This textbook provides a modern account of the theory of unbounded self-adjoint 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 self-adjoint 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 self-adjointness criteria
- Spectral integrals, spectral theorems, and functional calculus for self-adjoint and normal operators
- Perturbations of self-adjointness and of the spectra of self-adjoint operators
- Forms and operators
- Boundary triplets
- The Krein transform and the Krein-Vishik-Birman theory of positive self-adjoint extensions
With several updates and additions, this edition further enhances an established standard reference and accessible entry point to the subject.
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Details
- ISBN-13: 9789402423822
- ISBN-10: 9402423826
- Publisher: Springer
- Publish Date: February 2027
- Page Count: 535
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