Browsing Institutt for matematiske fag by Journals "Expositiones mathematicae"

Now showing items 1-3 of 3

    • Addendum to “The Kolmogorov-Riesz compactness theorem” [Expo. Math. 28 (2010) 385–394] 

      Hanche-Olsen, Harald; Holden, Helge (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 

      Hanche-Olsen, Harald; Holden, Helge; Malinnikova, Eugenia (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 

      Luef, Franz (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.