English

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

Spectral Theory 2018-02-07 v2

Abstract

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

Keywords

Cite

@article{arxiv.1709.07961,
  title  = {On nuclear $L^p$-multipliers associated to the Harmonic oscillator},
  author = {E. Samuel Barraza and Duván Cardona},
  journal= {arXiv preprint arXiv:1709.07961},
  year   = {2018}
}