CARDONA, Duván. A brief description of operators associated to the quantum harmonic oscillator on Schatten-von Neumann classes. []. , 36, 1, pp.49-57. ISSN 0120-419X.  https://doi.org/10.18273/revint.v36n1-2018004.

In this note we study pseudo-multipliers associated to the harmonic oscillator (also called Hermite multipliers) belonging to Schatten classes on L 2(R n). We also investigate the spectral trace of these operators.

MSC2010: 81Q10, 47B10, 81Q05.

: Harmonic oscillator; Fourier multiplier; Hermite multiplier; nuclear operator; traces.

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