| Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA320.SPR FCT 82391 (Browse shelf) | 1 | Available |
Browsing Biblioteca da FCTUNL Shelves , Shelving location: Online , Collection code: Não Ficção Close shelf browser
| QA320.SPR FCT 82032 Functional analysis | QA320.SPR FCT 82093 Geometric aspects of functional analysis | QA320.SPR FCT 82321 Constructive aspects of functional analysis | QA320.SPR FCT 82391 Spectral theory of non-commutative harmonic oscillators | QA320.SPR FCT 82427 Hilbert functions of filtered modules | QA320.SPR FCT 82607 Regular functions of a quaternionic variable | QA320.SPR FCT 82777 Modern analysis and applications |
Colocação: Online
This volume describes the spectral theory of the Weyl quantization of systems of polynomials in phase-space variables, modelled after the harmonic oscillator. The main technique used is pseudodifferential calculus, including global and semiclassical variants. The main results concern the meromorphic continuation of the spectral zeta function associated with the spectrum, and the localization (and the multiplicity) of the eigenvalues of such systems, described in terms of “classical” invariants (such as the periods of the periodic trajectories of the bicharacteristic flow associated with the eiganvalues of the symbol). The book utilizes techniques that are very powerful and flexible and presents an approach that could also be used for a variety of other problems. It also features expositions on different results throughout the literature.
There are no comments for this item.