Blar i Institutt for matematiske fag på tidsskrift "Expositiones mathematicae"
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Addendum to “The Kolmogorov-Riesz compactness theorem” [Expo. Math. 28 (2010) 385–394]
(Journal article, 2016)We show how to improve on Theorem 10 in Hanche-Olsen and Holden (2010), describing when subsets in W1,p(Rn) are totally bounded subsets of Lq(Rn) for p -
An improvement of the Kolmogorov-Riesz compactness theorem
(Journal article; Peer reviewed, 2018)The purpose of this short note is to provide a new and very short proof of a result by Sudakov (1957), offering an important improvement of the classical result by Kolmogorov–Riesz on compact subsets of Lebesgue spaces. -
The Balian–Low theorem and noncommutative tori
(Journal article; Peer reviewed, 2018)We point out a link between the theorem of Balian and Low on the non-existence of well-localized Gabor–Riesz bases and a constant curvature connection on projective modules over noncommutative tori.