On nuclear $L^p$-multipliers associated to the Harmonic oscillator

Duv\'an Cardona; E. Samuel Barraza

arxiv: 1709.07961 · v2 · pith:HX6D2DPDnew · submitted 2017-09-22 · 🧮 math.SP

On nuclear L^p-multipliers associated to the Harmonic oscillator

E. Samuel Barraza , Duv\'an Cardona This is my paper

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keywords multipliersnuclearassociatedharmonicoperatorsoscillatortracebelonging

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In this paper we study multipliers associated to the harmonic oscillator (also called Hermite multipliers) belonging to the ideal of $r$-nuclear operators on Lebesgue spaces. We also study the nuclear trace and the spectral trace of these operators.

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On nuclear L^p-multipliers associated to the Harmonic oscillator

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