2 papers
math.SP2024
Explicit Spectral Analysis for Operators Representing the unitary group and its Lie algebra through the Metaplectic Representation and Weyl Quantization
Fabián Belmonte, Giuseppe de Nittis
In this article we compute and analyze the spectrum of operators defined by the metaplectic representation on the unitary group or operators defined by the corr…
math-ph2023
Dixmier trace and the DOS of perturbed magnetic operators
Fabian Belmonte, Giuseppe De Nittis
The main goal of this work is to provide a description of the {trace per unit volume} in terms of the {Dixmier trace} (regularized by the resolvent of the harmonic oscillator) for…