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Spectral Theory and its Applications.
Introduces the basic tools in spectral analysis using numerous examples from the Schrödinger operator theory and various branches of physics.
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2013.
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| Colección: | Cambridge studies in advanced mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Contents; 1 Introduction; 2 Unbounded operators, adjoints, and self-adjoint operators; 3 Representation theorems; 4 Semibounded operators and the Friedrichs extension; 5 Compact operators: general properties and examples; 6 Spectral theory for bounded operators; 7 Applications to statistical mechanics and partial differential equations; 8 Self-adjoint unbounded operators and spectral theory; 9 Essentially self-adjoint operators; 10 The discrete spectrum and essential spectrum; 11 The max-min principle; 12 Spectral questions about the Rayleigh equation.
- 13 Non-self-adjoint operators and pseudospectra14 Applications to non-self-adjoint one-dimensional models; 15 Applications in kinetic theory: the Fokker-Planck operator; 16 Problems; Bibliography; Index.