Now showing items 1-3 of 3

    • On convergence sets of formal power series 

      Al-Shutnawi, Basma (Wichita State University, 2013-12)
      In this thesis we consider the convergence sets of formal power series of the form f(z, t)=sigma infinity j=0 pj(z)tj, where pj(z) are polynomials. A subset E of the complex plane C is said to be a convergence set if there ...
    • Pluripolar hulls and convergence sets 

      Chen, Juan (Wichita State University, 2018-05)
      The pluripolar hull of a pluripolar set E in Pn is the intersection of all complete pluripolar sets in Pn that contain E. We prove that the pluripolar hull of each compact pluripolar set in Pn is F . The convergence set ...
    • Strict Whitney arcs and t-quasi self-similar arcs 

      Wei, Xin (Wichita State University, 2018-05)
      A connected compact subset E of RN is said to be a strict Whitney set if there exists a real-valued C1 function f on RN with ∇f |E ≡ 0 such that f is constant on no non-empty relatively open subsets of E. We prove that ...