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A brief description of operators associated to the quantum harmonic oscillator on Schatten-von Neumann classes

A brief description of operators associated to the quantum harmonic oscillator on Schatten-von Neumann classes

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.