Blar i Fakultet for informasjonsteknologi og elektroteknikk (IE) på tidsskrift "Studia Mathematica"

Viser treff 1-5 av 5

    • A large scale approach to decomposition spaces 

      Luef, Franz; Berge, Eirik (Peer reviewed; Journal article, 2022)
      Decomposition spaces are a class of function spaces constructed out of “well-behaved” coverings and partitions of unity of a set. The structure of the covering determines the properties of the decomposition space. Besov ...

    • Norm attaining vectors and Hilbert points 

      Brevig, Ole Fredrik; Bampouras, Konstantinos (Journal article; Peer reviewed, 2024)
      Let H be a Hilbert space that can be embedded as a dense subspace of a Banach space X such that the norm of the embedding is equal to 1. We consider the following statements for a nonzero vector φ in H: (A) ∥φ∥X =∥φ∥H. (H) ...

    • On Gabor g-frames an Fourier series of operators 

      Skrettingland, Eirik (Peer reviewed; Journal article, 2021)
      We show that Hilbert–Schmidt operators can be used to define frame-like structures for L2(Rd) over lattices in R2d that include multi-window Gabor frames as a special case. These frame-like structures are called Gabor ...

    • Projecting onto Helson matrices in Schatten classes 

      Brevig, Ole Fredrik; Miheisi, Nazar (Peer reviewed; Journal article, 2021)
      A Helson matrix is an infinite matrix A=(am,n)m,n≥1 such that the entry am,n depends only on the product mn. We demonstrate that the orthogonal projection from the Hilbert–Schmidt class S2 onto the subspace of Hilbert–Schmidt ...

    • Riesz projection and bounded mean oscillation for Dirichlet series 

      Konyagin, Sergei; Queffelec, Herve; Saksman, Eero; Seip, Kristian (Peer reviewed; Journal article, 2022)
      We prove that the norm of the Riesz projection from L∞(Tn) to Lp(Tn) is 1 for all n≥1 only if p≤2, thus solving a problem posed by Marzo and Seip in 2011. This shows that Hp(T∞) does not contain the dual space of H1(T∞) ...