Essays about: "Borel Theorem"

Found 3 essays containing the words Borel Theorem.

  1. 1. Dynamical Borel-Cantelli lemmas and applications

    University essay from Lunds universitet/Matematik LTH

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

    Abstract : 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. READ MORE

  3. 2. The Implicit Function Theorem

    University essay from Umeå universitet/Institutionen för matematik och matematisk statistik

    Author : Rafael Velasquez; [2018]
    Keywords : ;

    Abstract : 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. .. READ MORE

  4. 3. Basic quantisation rules of semiclassical analysis

    University essay from Uppsala universitet/Analys och sannolikhetsteori

    Author : Anders Israelsson; [2016]
    Keywords : 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;

    Abstract : 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. READ MORE