80 citations · 146 across the 5 of their papers we have counts for
5 papers
Linear perturbations of the Wigner transform and the Weyl quantization
Dominik Bayer, Elena Cordero, Karlheinz Gröchenig +1
We study a class of quadratic time-frequency representations that, roughly speaking, are obtained by linear perturbations of the Wigner transform. They satisfy Moyal's formula by d…
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-…
Time-Frequency Localization Operators and a Berezin Transform
Dominik Bayer, Karlheinz Gröchenig
Time-frequency localization operators are a quantization procedure that maps symbols on to operators and depends on two window functions. We study the range of this quanti…
Multipliers for Continuous Frames in Hilbert Spaces
Peter Balazs, Dominik Bayer, Asghar Rahimi
In this paper we examine the general theory of continuous frame multipliers in Hilbert space. These operators are a generalization of the widely used notion of (discrete) frame mul…
The Pole Behaviour of the Phase Derivative of the Short-Time Fourier Transform
Peter Balazs, Dominik Bayer, Florent Jaillet +1
The short-time Fourier transform (STFT) is a time-frequency representation widely used in applications, for example in audio signal processing. Recently it has been shown that not…