• Non-stationary multivariate subdivision: joint spectral radius and asymptotic similarity 

      [OWP-2013-20] Charina, Maria; Conti, Costanza; Guglielmi, Nicola; Protasov, Vladimir (Mathematisches Forschungsinstitut Oberwolfach, 2013-10-29)
      In this paper we study scalar multivariate non-stationary subdivision schemes with a general integer dilation matrix. We present a new numerically efficient method for checking convergence and Hölder ...
    • A real algebra perspective on multivariate tight wavelet frames 

      [OWP-2012-11] Charina, Maria; Putinar, Mihai; Scheiderer, Claus; Stöckler, Joachim (Mathematisches Forschungsinstitut Oberwolfach, 2012-08-13)
      Recent results from real algebraic geometry and the theory of polynomial optimization are related in a new framework to the existence question of multivariate tight wavelet frames whose generators have at least one vanishing ...