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Browsing by Subject "Γ-convergence"

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  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    On some convergence results for fractional periodic Sobolev spaces
    (Wydawnictwa AGH, 2020) Ambrosio, Vincenzo
    In this note we extend the well-known limiting formulas due to Bourgain-Brezis-Mironescu and Maz'ya-Shaposhnikova, to the setting of fractional Sobolev spaces on the torus. We also give a $\Gamma$-convergence result in the spirit of Ponce. The main theorems are obtained by using the nice structure of Fourier series.