%0 Journal Article %T A Smoothing Effect for the Fractional Schrödinger Equations on the Circle and Observability %A Alphonse, Paul %A Tzvetkov, Nikolay %J International Mathematics Research Notices %V 2025 %N 8 %P 1 %@ 1073-7928 %D 2025-04-22 %I Oxford University Press %~ DeepDyve