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Colloquium Talk by Professor Laura De Carli

This is a past event.

Thursday, October 13, 2022

DM - Deuxieme Maison, 409A
11200 SW 8th ST, Deuxieme Maison, Miami, Florida 33199

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.

Dial-In Information

Join Zoom Meeting

https://fiu.zoom.us/j/92728492864?pwd=UnpzZ2NHeVRzakNGa1JzZmFSbklpdz09

Meeting ID: 927 2849 2864

Passcode: FIU2022

Event Type

Academics, Lectures & conferences

Audience

Students, Faculty & Staff

Tags

Colloquia

Department
Department of Mathematics and Statistics
Hashtag

#mathematics

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