Essays about: "multiplicative integrals"

Found 1 essay containing the words multiplicative integrals.

  1. 1. Complex Multiplicative Calculus and Mixed Problems

    University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Author : Axel Lokrantz; [2022]
    Keywords : multiplicative integrals; multiplicative calculus; product integrals; geometric mean; continuous geometric mean; geometric mean of non-negative random variables; inequality of arithmetic and geometric means; A_G-G_A inequality; generalized Hölder s inequality; multiplicative vector spaces; multiplicative function spaces; exponential transition functor; logarithmic Riemann surface; lift; function lift; projection; function projection; lift-projection method; multivalued complex multiplicative integrals; geometric expectation; mixed differential equation; Lambert W function; W; M; w and m functions; Mathematics and Statistics;

    Abstract : In this thesis we consider multiplicative integrals and derivatives on functions on the positive numbers, the logarithmic Riemann surface and the punctured complex numbers. Additive structures on the real and complex numbers are related to their multiplicative counterparts on the positive numbers and the logarithmic Riemann surface by defining exponential transition functors. READ MORE