Corpus ID: 220250392

Hyperseries in the non-Archimedean ring of Colombeau generalized numbers

@inproceedings{Tiwari2020HyperseriesIT,
  title={Hyperseries in the non-Archimedean ring of Colombeau generalized numbers},
  author={D. Tiwari and P. Giordano},
  year={2020}
}
  • D. Tiwari, P. Giordano
  • Published 2020
  • Mathematics
  • This article is the natural continuation of the paper: Mukhammadiev A. et al Supremum, infimum and hyperlimits of Colombeau generalized numbers in this journal. Since the ring ρR̃ of Robinson-Colombeau is nonArchimedean, a classical series ∑+∞ n=0 an of generalized numbers an ∈ ρR̃ is convergent if and only if an → 0 in the sharp topology. Therefore, this property does not permit us to generalize several classical results, mainly in the study of analytic generalized functions (as well as, e.g… CONTINUE READING

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 21 REFERENCES
    Anterolateral thigh flap
    82
    Marked Increase in REM Sleep Produced by a New Antipsychotic Compound*
    6
    Leukocyte-endothelium adhesion: microhemodynamics in mesentery of the cat.
    283
    Genome-Wide Fitness Test and Mechanism-of-Action Studies of Inhibitory Compounds in Candida albicans
    179
    Supremum, Infimum and and hyperlimits of Colombeau generalized numbers, 2019
    • 2019
    Infimum and and hyperlimits of Colombeau generalized numbers
    • 2019
    Transseries as germs of surreal functions
    10
    A convenient notion of compact set for generalized functions
    5
    A non-archimedean algebra and the Schwartz impossibility theorem
    13