5 citations · 5 across the 4 of their papers we have counts for
4 papers · 1 filter
Localized frames without inequalities
Peter Balazs, Lukas Köhldorfer, Michael Speckbacher
We consider countable families of vectors in a separable Hilbert space, which are mutually localized with respect to a fixed localized Riesz basis. We prove the equivalence of the…
Hölder-Continuity of Extreme Spectral Values of Pseudodifferential Operators, Gabor Frame Bounds, and Saturation
Karlheinz Gröchenig, José Luis Romero, Michael Speckbacher
We build on our recent results on the Lipschitz dependence of the extreme spectral values of one-parameter families of pseudodifferential operators with symbols in a weighted Sjöst…
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…