118 citations · 790 across the 44 of their papers we have counts for
4 papers · 1 filter
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…
Designing Gabor windows using convex optimization
Nathanaël Perraudin, Nicki Holighaus, Peter L. Søndergaard +1
Redundant Gabor frames admit an infinite number of dual frames, yet only the canonical dual Gabor system, constructed from the minimal l2-norm dual window, is widely used. This win…
An operator based approach to irregular frames of translates
Peter Balazs, Sigrid Heineken
We consider translates of functions in $L^2(\RRd)$ along an irregular set of points. Introducing a notion of pseudo-Gramian function for the irregular case, we obtain conditions fo…