Fractional Supershifts and their associated Cauchy Evolution problems
Classical Analysis and ODEs
2026-01-21 v1 Mathematical Physics
Functional Analysis
math.MP
Abstract
In this work, we extend the notion of supershifts and superoscillation sequence to fractional Fock spaces based on Gelfond-Leontiev fractional derivatives. We first introduce the fractional supershifts sequence, and then discuss the associated evolution Cauchy problem with the fractional supershifts as initial condition.
Cite
@article{arxiv.2601.11829,
title = {Fractional Supershifts and their associated Cauchy Evolution problems},
author = {Natanael Alpay},
journal= {arXiv preprint arXiv:2601.11829},
year = {2026}
}