Sökning: "disc analys"

Visar resultat 1 - 5 av 14 avhandlingar innehållade orden disc analys.

  1. 1. On the ring lemma

    Författare :Jonatan Vasilis; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; ring lemma; circle packing; sphere packing; Apollonian; sphere packing;

    Sammanfattning : The sharp ring lemma states that if n ≥ 3 cyclically tangent discs with pairwise disjoint interiors are externally tangent to and surround the unit disc, then no disc has a radius below cn = (F2n-1 + F2n-2 - 1)-1 – where Fk denotes the kth Fibonacci number – and that the lower bound is attained in essentially unique Apollonian configurations. Here we give a proof by transforming the problem to a class of strip configurations, after which we closely follow a method of proof due to Aharonov and Stephenson. LÄS MER

  3. 2. Harmonic measures

    Författare :Jonatan Vasilis; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; harmonic measure; square root of the Poisson kernel; Hardy space; p-Laplace operator; random walk; regular tree; discrete minimal thinness; Hardy space;

    Sammanfattning : This thesis uses both analytic and probabilistic methods to study continuous and discrete problems. The main areas of study are the asymptotic properties of p-harmonic measure, and various aspects of the square root of the Poisson kernel. Fix a domain and a boundary point, subject to certain regularity conditions. LÄS MER

  4. 3. Approximation problems and weights

    Författare :Adem Limani; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; approximation problems; weights; Spaces of analytic functions;

    Sammanfattning : This thesis is mainly concerned with investigations of approximation problems on spaces of analytic functions on the unit disc in the complex plane, which naturally arise in connection to spectral problems of certain classes of linear operators acting on the spaces in question. For instance, quasi-nilpotency of certain analytic paraproducts on the Hardy spaces and on the Bergman spaces are investigated. LÄS MER

  5. 4. Function spaces and rational inner functions on polydiscs

    Författare :Linus Bergqvist; Alan Sola; Jan-Fredrik Olsen; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Complex variables; Hilbert spaces;

    Sammanfattning : In this thesis we consider problems related to rational inner functionsand several different Hilbert spaces on the unit polydisc. In the general introduction the functions and the function spaces we will be interested in are introduced, and in particular we point outproblems and phenomena that occur in higher dimensions and are notpresent for one variable functions. LÄS MER

  7. 5. Exploring the nature of ISM turbulencein disc galaxies

    Författare :Timmy Ejdetjärn; Göran Östlin; Oscar Agertz; Garrelt Mellema; Troels Haugbølle; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; galaxies; galaxy; disc galaxy; star formation; ISM; interstellar medium; kinematics; dynamics; evolution; turbulence; numerical; Astronomy; astronomi; teoretisk astrofysik; Theoretical Astrophysics;

    Sammanfattning : Galaxy formation is a continuous process that started only a few hundred million yearsafter the Big Bang. The first galaxies were very volatile, with bursts of star formationand disorganised gas motions. LÄS MER