Spectral Theory Basic Concepts and Applications
This textbook offers a concise introduction to spectral theory, designed for newcomers to functional analysis. Curating the content carefully, the author builds to a proof of the spectral theorem in the early part of the book. Subsequent chapters illustrate a variety of application areas, exploring...
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2020, 2020
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| Edition: | 1st ed. 2020 |
| Series: | Graduate Texts in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 1. Introduction
- 2. Hilbert Spaces
- 3. Operators
- 4. Spectrum and Resolvent
- 5. The Spectral Theorem
- 6. The Laplacian with Boundary Conditions
- 7. Schrödinger Operators
- 8. Operators on Graphs
- 9. Spectral Theory on Manifolds
- A. Background Material
- References
- Index