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

2018/03/19 by Duván Cardona, Cardona, Duvan
Mathematics · #Spectral Theory in Mathematical Physics #Mathematical Analysis and Transform Methods #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1803.07924

Abstract

In this note we study pseudo-multipliers associated to the harmonic\noscillator (also called Hermite multipliers) belonging to Schatten classes on\nL²(\ℝⁿ). We also investigate the spectral trace of these operators.\n

Citations

• Summability of Hermite expansions. II

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