5 citations · 5 across the 3 of their papers we have counts for
3 papers
math.FA2014
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-…
math.FA2014★ 5 cited
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…
math-ph2012
Frames, semi-frames, and Hilbert scales
J-P. Antoine, P. Balazs
Given a total sequence in a Hilbert space, we speak of an upper (resp. lower) semi-frame if only the upper (resp. lower) frame bound is valid. Equivalently, for an upper semi-frame…