Pego everywhere

Przemysław Górka , Tomasz Kostrzewa


In this note we show the general version of Pego’s theorem on locally compact abelian groups. The proof relies on the Pontryagin duality as well as on the Arzela–Ascoli theo- rem. As a byproduct, we get the characterization of relatively compact subsets of L^2 in terms of the Fourier transform.
Author Przemysław Górka ZRRC
Przemysław Górka,,
- Department of Partial Differential Equations
, Tomasz Kostrzewa WMiNI
Tomasz Kostrzewa,,
- Faculty of Mathematics and Information Science
Journal seriesJournal of Algebra and Its Applications, ISSN 0219-4988
Issue year2016
Publication size in sheets0.3
Keywords in EnglishLocally compact abelian groups, compactness, Fourier transform
Abstract in PolishUżywając tweirdzenia Arzela-Ascoliego oraz dualności Pontriagina pokazujemy, że twierdzenie Pego zachodzi na dowolnych grupach abelowych.
Languageen angielski
Score (nominal)20
ScoreMinisterial score = 15.0, 28-11-2017, ArticleFromJournal
Ministerial score (2013-2016) = 20.0, 28-11-2017, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 0.489 (2) - 2016=0.538 (5)
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