Professor Laura De Carli will come to Miami this week. She kindly agreed to give an in-person colloquium talk this Thursday, Oct 13, at 3:45pm, in DM 409A.

Title: Weaving Riesz bases, and piecewise weighted frames 

Abstract:  This talk consists of two parts loosely connected to one another. In the first part we discuss the properties of a family of Riesz bases on a separable Hilbert space  H  obtained in the following way: 

For every  N>1  we let        B_N= {w_j }_{j=1}^N U {v_j }_{j=N+1}^\infty,  where   {v_j }_{j=1}^\infty  is a Riesz basis of   H and   B= {w_j }_{j=1}^\infty  is a set of unit vectors. We find necessary and sufficient conditions that ensure that the    B_N   and   B are Riesz bases, and we apply our results to the construction of weighted exponential bases on domains of L^2.
In the second part of the talk, we present results on weighted Riesz bases and frames in finite-dimensional Hilbert spaces, with piecewise constant weights.  We use our results to construct tight frames in finite-dimensional Hilbert spaces.

We highly encourage students to attend.