The book is a rapid pseudodifferential introduction to the spectral theory of certain systems (elliptic and of second order in the global calculus), with particular interest on the Weyl law of the distribution of eigenvalues, the properties of the meromorphic continuation of the associated spectral zeta function, and clustering theorems (along with multiplicity results) for the eigenvalues when the bicharacteristic trajectories of the eigenvalues of the principal symbol are periodic.
A. Parmeggiani (2008). Introduction to the spectral theory of non-commutative harmonic oscillators.. FUKUOKA : Kyushu University.
Introduction to the spectral theory of non-commutative harmonic oscillators.
PARMEGGIANI, ALBERTO
2008
Abstract
The book is a rapid pseudodifferential introduction to the spectral theory of certain systems (elliptic and of second order in the global calculus), with particular interest on the Weyl law of the distribution of eigenvalues, the properties of the meromorphic continuation of the associated spectral zeta function, and clustering theorems (along with multiplicity results) for the eigenvalues when the bicharacteristic trajectories of the eigenvalues of the principal symbol are periodic.File in questo prodotto:
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