On Nuclear -Multipliers Associated to the Harmonic Oscillator

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Abstract

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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Barraza, E. S., & Cardona, D. (2019). On Nuclear -Multipliers Associated to the Harmonic Oscillator. In Springer Proceedings in Mathematics and Statistics (Vol. 275, pp. 31–41). Springer New York LLC. https://doi.org/10.1007/978-3-030-05657-5_4

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