Sökning: "holomorphic functions"

Visar resultat 1 - 5 av 6 uppsatser innehållade orden holomorphic functions.

  1. 1. The Uniformization Theorem

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

    Författare :Nikita Zozoulenko; [2021]
    Nyckelord :complex analysis; riemann surface; analytic functions; holomorphic functions; differential geometry; harmonic; subharmonic; perron; analysis; Mathematics and Statistics;

    Sammanfattning : In this bachelor's thesis we provide a self contained proof of the Uniformization Theorem. It states that a simply connected Riemann surface is conformally equivalent to either the complex plane C, the unit disk D, or the Riemann sphere C^*. LÄS MER

  3. 2. A Comparison Of Harmonic And Holomorphic Functions

    Kandidat-uppsats, Mälardalens högskola/Akademin för utbildning, kultur och kommunikation

    Författare :Adrian Daniel Renz; [2020]
    Nyckelord :harmonic; holomoephic; analysis;

    Sammanfattning : Many results in real and complex analysis are the consequence of mean value properties and theorems. This is the case for harmonic and holomorphic functions as well. The mean value property builds the foundation for several properties of each set of functions. LÄS MER

  4. 3. The Existence of Meromorphic Functions with Prescribed Poles and Principal Parts

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

    Författare :Peicen Liu; [2020]
    Nyckelord :The Mittag-Leffler Theorem; Meromorphic Function; Complex Analysis; The Mittag-Leffler Star; Mathematics and Statistics;

    Sammanfattning : The Swedish mathematician Gösta Mittag-Leffler (1846-1927) is well-known for founding Acta Mathematica, the famous international mathematical journal. His mathematical contributions are connected chiefly with complex analysis. LÄS MER

  5. 4. The Oka-Weil Theorem

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

    Författare :Jesper Karlsson; [2017]
    Nyckelord :several complex variables; holomorphic functions; polynomial convexity; Oka-Weil theorem; Oka extension theorem; differential forms;

    Sammanfattning : We give a proof of the Oka-Weil theorem which states that on compact, polynomially convex subsets of Cn, holomorphic functions can be approximated uniformly by holomorphic polynomials. ... LÄS MER

  7. 5. The noncommutative Shilov boundary

    Master-uppsats, Göteborgs universitet/Institutionen för matematiska vetenskaper

    Författare :Jimmy Johansson; [2016-12-06]
    Nyckelord :;

    Sammanfattning : We introduce Arveson's generalization of the Shilov boundary to the noncommutative case and give a proof based on the work of Hamana of the existence of the Shilov boundary ideal. Moreover, we describe the Shilov boundary for a noncommutative analog of the algebra of holomorphic functions on the unit polydisk Dn and for a q-analog of the algebra of holomorphic functions on the unit ball in the space of symmetric complex 2 x 2 matrices. LÄS MER