Blar i NTNU Open på forfatter "Brevig, Ole Fredrik"
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Operator theory in spaces of Dirichlet series
Brevig, Ole Fredrik (Doctoral theses at NTNU;2017:193, Doctoral thesis, 2017) -
Orthogonal decomposition of composition operators on the $H^2$ space of Dirichlet series
Brevig, Ole Fredrik; Perfekt, Karl-Mikael (Peer reviewed; Journal article, 2022)Let denote the Hilbert space of Dirichlet series with square-summable coefficients. We study composition operators on which are generated by symbols of the form , in the case that . If only a subset of prime numbers ... -
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 ... -
Pseudomoments of the Riemann zeta function
Bondarenko, Andrii; Brevig, Ole Fredrik; Saksman, Eero; Seip, Kristian; Zhao, Jing (Journal article; Peer reviewed, 2018)The 2kth pseudomoments of the Riemann zeta function ζ ( s ) are, following Conrey and Gamburd, the 2 k th integral moments of the partial sums of ζ ( s ) on the critical line. For fixed k > 1 / 2 , these moments are known ... -
Sharp norm estimates for composition operators and Hilbert-type inequalities
Brevig, Ole Fredrik (Journal article; Peer reviewed, 2017)Let H 2 denote the Hardy space of Dirichlet series f ( s ) = ∑ n ⩾ 1 a n n − s with square summable coefficients and suppose that φ is a symbol generating a composition operator on H 2 by C φ ( f ) = f ∘ φ . Let ζ denote ... -
The spectrum of some Hardy kernel matrices
Brevig, Ole Fredrik; Perfekt, Karl-Mikael; Pushnitski, Alexander (Journal article; Peer reviewed, 2023) -
The multiplicative Hilbert matrix
Brevig, Ole Fredrik; Perfekt, Karl-Mikael; Seip, Kristian; Siskakis, Aristomenis; Vukotic, Dragan (Journal article; Peer reviewed, 2016) -
The Sidon Constant for Ordinary Dirichlet Series
Brevig, Ole Fredrik (Master thesis, 2013)We obtain the asymptotic formula of the Sidon constant for ordinary Dirichlet series using the Bohnenblust--Hille inequality and estimates on smooth numbers. We moreover give precise estimates for the error term. -
Volterra operators on Hardy spaces of Dirichlet series
Brevig, Ole Fredrik; Perfekt, Karl-Mikael; Seip, Kristian (Journal article; Peer reviewed, 2019)For a Dirichlet series symbol g.s/ D P n 1 bnn s , the associated Volterra operator Tg acting on a Dirichlet series f .s/ D P n 1 ann s is defined by the integral f 7! Z C1 s f .w/g0 .w/ dw: We show that Tg is a bounded ...