2 papers
math.FA2022
Hyper-power series and generalized real analytic functions
Diksha Tiwari, Akbarali Mukhammadiev, Paolo Giordano
This article is a natural continuation of the paper Tiwari, D., Giordano, P., Hyperseries in the non-Archimedean ring of Colombeau generalized numbers in this journal. We study one…
math.FA2021
A Fourier transform for all generalized functions
Akbarali Mukhammadiev, Diksha Tiwari, Paolo Giordano
Using the existence of infinite numbers in the non-Archimedean ring of Robinson-Colombeau, we define the hyperfinite Fourier transform (HFT) by considering integration extended…