• A class of Gorenstein Artin algebras of embedding dimension four 

    El Khoury, Sabine, 1978- (University of Missouri--Columbia, 2007)
    Let R be a polynomial ring in n variables and I be a homogeneous ideal in R. Such an ideal I is called Gorenstein if the quotient R/I has a free resolution over R which is both self dual. In 2005 Iarrobino and Srinivasan ...
  • Trace formulae in finite von Neumann algebras 

    Skripka, Anna, 1979- (University of Missouri--Columbia, 2007)
    The dissertation is devoted to some aspects of spectral perturbation theory in the context of finite Von Neumann algebras. The central results are analogs of the Birman-Schwinger principle and the Birman-Krein formula for ...
  • Transference and Szego's theorem for measure preserving representations 

    Koucherik, Elena, 1962- (University of Missouri--Columbia, 2007)
    We prove analogues of the classical Szeg̈o's theorem concerning approximation by polynomials on the unit circle, and Jensen's inequality involving the summability of the logarithm, for functions in generalized Hardy spaces ...
  • Volatility estimation and price prediction using a hidden Markov model with empirical study 

    Yin, Pei, 1978- (University of Missouri--Columbia, 2007)
    This work provides a solid development of a hidden Markov model (HMM) from the economic insight to the mathematic formulation. In this model, we assume both drift and volatility of the security return process are driven ...