Speaker: Roza Aceska, Vanderbilt University

 

March 5, 2014, 11AM

University Crossings 153

 

Abstract

 

In the modelling of smooth spatio - temporal fields (eg. in wireless sensor networks) it is desirable to have locally adapted smoothness of the field. Hybrid shift invariant spaces (HSIS), studied in this paper, are a good fit for this purpose. We explore the properties of these spaces and formulate the dynamical sampling problem in this new setting. We generalize the techniques of dynamical sampling in shift-invariant spaces to HSIS. We solve the dynamical sampling problem in hybrid shift invariant spaces under special assumptions and the related results in shift invariant spaces become corollaries.

 

Bio

 

Roza Aceska is an assistant professor in Mathematics at Vanderbilt University.  She graduated from the University of Vienna in 2009.  Her specializations are  Applied Harmonic analysis, Time-Frequency Analysis, Sampling Theory, Asymptotic Analysis.