Sökning: "unit disc"

Visar resultat 6 - 10 av 17 uppsatser innehållade orden unit disc.

  1. 6. Bieberbach's Theorem, Normal Families and Approximation by Single-Slit Maps

    Kandidat-uppsats, Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Författare :Robin Runyeon Odeberg; [2022]
    Nyckelord :complex analysis; Bieberbach s theorem; Bieberbach inequality; de Branges theorem; single-slit maps; univalent functions; normal families; Mathematics and Statistics;

    Sammanfattning : The main purpose of this thesis is to prove the Bieberbach inequality using Grönwall’s area theorem, and discuss some consequences of the Montel’s theorem and Carathéodroty convergence theorem regarding single-slit maps, which is essential to the proof of de Branges’ theorem.... LÄS MER

  3. 7. The upper and lower bounds on Korenblum’s constant

    Master-uppsats, Lunds universitet/Matematik LTH

    Författare :Åke Wettergren; [2020]
    Nyckelord :Complex Analysis; Bergman Space; Korenblum s constant; Optimization; Mathematics and Statistics;

    Sammanfattning : The purpose of this thesis is to study complex analysis, the Bergman space and Korenblum's conjecture. This is done in three parts. In the first part the proofs that the conjecture is true are studied, giving lower bounds of Korenblum's constant. The first proof is explained in detail, to make it as accessible as possible to more people. LÄS MER

  4. 8. Utvärdering av den midjemonterade harven Midiflex markberedningsresultat på fuktiga marker

    Kandidat-uppsats, SLU/School for Forest Management

    Författare :Jonas Persson; [2020]
    Nyckelord :planteringspunkt; markberedningsaggregat; markbehandling; markpåverkan;

    Sammanfattning : Vid markberedning inför skogsplantering bör det göras en avvägning mellan att skapa tillräckligt många planteringspunkter samtidigt som marken orsakas så liten skada som möjligt. Faktorer som markfuktighet och hinder i terrängen inverkar på markberedningens kvalitet, vilket medför att dessa faktorer bör påverka valet av markberedningsmetod. LÄS MER

  5. 9. The Automorphism Groups on the Complex Plane

    Kandidat-uppsats, Umeå universitet/Institutionen för matematik och matematisk statistik

    Författare :Aron Persson; [2017]
    Nyckelord :;

    Sammanfattning : The automorphism groups in the complex plane are defined, and we prove that they satisfy the group axioms. The automorphism group is derived for some domains. LÄS MER

  7. 10. Cauchy Integrals Method in the Study of Perturbations of Operators

    Master-uppsats, KTH/Matematik (Avd.)

    Författare :Johan Balkare; [2016]
    Nyckelord :;

    Sammanfattning : We show that functions which are analytic on the open unit disc and fulfil the Hölder condition of order r  there, where r lies in the interval (0,1), are operator Hölder of order r on the set of all linear contractions on a Hilbert space. Further, it is known that analytic Lipschitz functions on the unit disc need not be operator Lipschitz. LÄS MER