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Characterization of nuclear pseudo-multipliers associated to the harmonic oscillator

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Abstract
In this paper we study pseudo-multipliers associated to the harmonic oscillator (also called Hermite pseudo-multipliers) belonging to the ideal of r-nuclear operators on Lebesgue spaces. Our main result is Theorem 1.1 where we classify the r-nuclearity of pseudo-multipliers. We also investigate the nuclear trace of these operators.
Keywords
Harmonic oscillator, Fourier multiplier, Hermite multiplier, nuclear operator, traces, L-P, PSEUDODIFFERENTIAL-OPERATORS, HERMITE, COMPACT, EXPANSIONS, ADJOINTS, FORMULA

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Citation

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MLA
Cardona Sanchez, Duvan, and E. Samuel Barraza. “Characterization of Nuclear Pseudo-Multipliers Associated to the Harmonic Oscillator.” UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, vol. 80, no. 4, 2018, pp. 163–72.
APA
Cardona Sanchez, D., & Barraza, E. S. (2018). Characterization of nuclear pseudo-multipliers associated to the harmonic oscillator. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 80(4), 163–172.
Chicago author-date
Cardona Sanchez, Duvan, and E Samuel Barraza. 2018. “Characterization of Nuclear Pseudo-Multipliers Associated to the Harmonic Oscillator.” UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS 80 (4): 163–72.
Chicago author-date (all authors)
Cardona Sanchez, Duvan, and E Samuel Barraza. 2018. “Characterization of Nuclear Pseudo-Multipliers Associated to the Harmonic Oscillator.” UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS 80 (4): 163–172.
Vancouver
1.
Cardona Sanchez D, Barraza ES. Characterization of nuclear pseudo-multipliers associated to the harmonic oscillator. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS. 2018;80(4):163–72.
IEEE
[1]
D. Cardona Sanchez and E. S. Barraza, “Characterization of nuclear pseudo-multipliers associated to the harmonic oscillator,” UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, vol. 80, no. 4, pp. 163–172, 2018.
@article{8621364,
  abstract     = {In this paper we study pseudo-multipliers associated to the harmonic oscillator (also called Hermite pseudo-multipliers) belonging to the ideal of r-nuclear operators on Lebesgue spaces. Our main result is Theorem 1.1 where we classify the r-nuclearity of pseudo-multipliers. We also investigate the nuclear trace of these operators.},
  author       = {Cardona Sanchez, Duvan and Barraza, E Samuel},
  issn         = {1223-7027},
  journal      = {UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS},
  keywords     = {Harmonic oscillator,Fourier multiplier,Hermite multiplier,nuclear operator,traces,L-P,PSEUDODIFFERENTIAL-OPERATORS,HERMITE,COMPACT,EXPANSIONS,ADJOINTS,FORMULA},
  language     = {eng},
  number       = {4},
  pages        = {163--172},
  title        = {Characterization of nuclear pseudo-multipliers associated to the harmonic oscillator},
  volume       = {80},
  year         = {2018},
}

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