Application of frames in non-uniform discrete dynamical system

Ruchi

Session: General

Keywords: Sampling theory, forcing, frames, reconstruction

TL;DR: Using frame conditions, we study stability of source terms in non-uniform discrete dynamical system.

Abstract: Aldroubi et al., in [11], studied source recovery problems in a discrete dynamical system for the stable recovery of source terms with the help of frames. Inspired by the work of Aldroubi et al., we introduce discrete dynamical system indexing over a non-uniform discrete set arising from spectral pairs, which is not necessarily a group. We call it non-uniform discrete dynamical system (NUDDS, in short). Using the techniques given in [11], we analyze the stability of the source term of the NUDDS in terms of frames.

Submission Number: 22