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arXiv · 2601.11829

Fractional Supershifts and their associated Cauchy Evolution problems

Natanael Alpay
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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.

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Natanael Alpay. 2026-01-16. Fractional Supershifts and their associated Cauchy Evolution problems. https://arxiv.org/abs/2601.11829

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