Now showing items 1-10 of 10

  • Almost everywhere convergence for modified Bochner Riesz means at the critical index for [rho] [greater than or equal to] 2 

    Annoni, Marco, 1981- (University of Missouri--Columbia, 2010)
    The Fourier transform is a mathematical operation that can be used with its inverse to rewrite a function as a sum of waves. It has been a useful mathematical tool for many applied sciences. Sometimes Fourier inversion is ...
  • Conformal mappings and the Schwarz-Christoffel transformation 

    Heinen, Rebecca (Rebecca Lynn) (University of Missouri--Columbia, 2017)
    [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] Let [omega] be an open and connected set in the complex plane. A mapping f : [omega] [right arrow] C is said to be conformal at a point z0 if it ...
  • Counting theorems and inverse function theorems for analytic functions 

    Delibas, Hakan (University of Missouri--Columbia, 2017)
    [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] In this master's thesis, we discuss the counting and Rouche's theorems. These theorems are used to find the roots of complex analytic functions.Also, ...
  • Directional time-frequency analysis with applications 

    Sansing, Christopher, 1979- (University of Missouri--Columbia, 2006)
    The purpose of this dissertation is to introduce a new directionally-sensitive time frequency representation of a function. It is shown that we may break up a function (or signal) into individual time-frequency-direction ...
  • Distributional estimates for multilinear operators 

    Bilyk, Dmytro, 1979- (University of Missouri--Columbia, 2005)
    We prove that if a multilinear operator and all its adjoints map L1 x x L1 to L1/m,oo, then the distribution function of the operator applied to characteristic functions of sets of finite measure has exponential decay at ...
  • Harmonic functions and the Dirichlet problem 

    Mayfield, Caleb James (University of Missouri--Columbia, 2017)
    [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] Let [omega] be an open and connected subset of the complex plane. A real valued function u : [omega] [right arrow] R is said to be harmonic if it has ...
  • Linear and multilinear spherical maximal functions 

    Ntosidis, Georgios (University of Missouri--Columbia, 2020)
    In dimensions n [greater than or equal to] 2 we obtain Lp1(Rn) x...x Lpm(Rn) to Lp(Rn) boundedness for the multilinear spherical maximal function in the largest possible open set of indices and we provide counterexamples ...
  • Maximal Fourier integrals and multilinear multiplier operators 

    Nguyen, Hanh Van (Researcher on mathematics) (University of Missouri--Columbia, 2016)
    The first topic of this dissertation is concerned with the L^2 boundedness of a maximal Fourier integral operator which arises by transferring the spherical maximal operator on the sphere S^n to a Euclidean space of the ...
  • Topics in Littlewood-Paley theory and BMO 

    Thompson, Brian (University of Missouri--Columbia, 2012)
    [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] In this thesis we discuss some important results in Littlewood-Paley theory and the space of Bounded-Mean Oscillation functions, henceforth called ...
  • Weak hardy spaces and paraproducts / 

    He, Danqing, 1988- (University of Missouri--Columbia, 2016)
    [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] The purpose of this dissertation is to provide a new square function characterization of weak Hardy spaces in the full range of exponents possible and ...