Sökning: "Borel Theorem"

Hittade 3 uppsatser innehållade orden Borel Theorem.

  1. 1. Dynamical Borel-Cantelli lemmas and applications

    Master-uppsats, Lunds universitet/Matematik LTH

    Författare :Viktoria Xing; [2020]
    Nyckelord :Borel-Cantelli lemma; dynamical systems; Mathematics and Statistics;

    Sammanfattning : The classical Borel–Cantelli lemma is a beautiful discovery with wide applications in the mathematical field. The Borel–Cantelli lemmas in dynamical systems are particularly fascinating. Here, D. Kleinbock and G. LÄS MER

  3. 2. The Implicit Function Theorem

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

    Författare :Rafael Velasquez; [2018]
    Nyckelord :;

    Sammanfattning : In this essay we present an introduction to real analysis, with the purpose of proving the Implicit Function Theorem. Our proof relies on other well-known theorems in set theory and real analysis as the Heine-Borel Covering Theorem and the Inverse Function Theorem. .. LÄS MER

  4. 3. Basic quantisation rules of semiclassical analysis

    Uppsats för yrkesexamina på avancerad nivå, Uppsala universitet/Analys och sannolikhetsteori

    Författare :Anders Israelsson; [2016]
    Nyckelord :Semiclassical analysis; Gårding inequality; Borel Theorem; Kohn-Nirenberg; Weyl; Quantization; Symbol; Asympotic expansion; Schwartz space; Tempered distribution; Pseudodifferential operator; Fourier transform; Stationary phase; Microlocal analysis; Oscillatory integral; Poisson Bracket; Lie Bracket;

    Sammanfattning : Semiclassical analysis is the study of how to connect classical mechanics with quantummechanics in a mathematically rigorous way. What is crucial for quantum mechanics isthat the operators that occur are self-adjoint and map a subset of L2 into L2. This hasbeen proven in this thesis. LÄS MER