118 citations · 790 across the 44 of their papers we have counts for
4 papers · 2 filters
Redundant Representation of Operators
Peter Balazs, Georg Rieckh
To be able to solve operator equations numerically a discretization of those operators is necessary. In the Galerkin approach bases are used to achieve discretized versions of oper…
A Guide to Localized Frames and Applications to Galerkin-like Representations of Operators
Peter Balazs, Karlheinz Gröchenig
This chapter offers a detailed survey on intrinsically localized frames and the corresponding matrix representation of operators. We re-investigate the properties of localized fram…
Reproducing pairs and Gabor systems at critical density
Michael Speckbacher, Peter Balazs
We use the concept of reproducing pairs to study Gabor systems at critical density. First, we present a generalization of the Balian-Low theorem to the reproducing pairs setting. T…
On the dual frame induced by an invertible frame multiplier
Diana T. Stoeva, Peter Balazs
Recently it has been established that given an invertible frame multiplier with semi-normalized symbol, a specific dual of any of the two involved frames can be determined for the…