6 citations · 11 across the 8 of their papers we have counts for
5 papers · 1 filter
Weighted frames, weighted lower semi frames and unconditionally convergent multipliers
Peter Balazs, Rosario Corso, Diana Stoeva
In this paper we ask when it is possible to transform a given sequence into a frame or a lower semi frame by multiplying the elements by numbers. In other words, we ask when a give…
An unbounded operator theory approach to lower frame and Riesz-Fischer sequences
Peter Balazs, Mitra Shamsabadi
Frames and orthonormal bases are naturally linked to bounded operators. To tackle unbounded operators those sequences might not be well suited. This has already been noted by von N…
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…
Admissibility for -Modulation Spaces
Peter Balazs, Dominik Bayer, Michael Speckbacher
This paper is concerned with frame decompositions of -modulation spaces. These spaces can be obtained as coorbit spaces for square-integrable representations of the affine Weyl-…
The continuous nonstationary Gabor transform on LCA groups with applications to representations of the affine Weyl-Heisenberg group
Michael Speckbacher, Peter Balazs
In this paper we introduce and investigate the concept of reproducing pairs which generalizes continuous frames. We will introduce a concept that represents a unifying way to look…