246 citations
- Austrian Academy of SciencesAT76 papers
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5 papers · 1 filter
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…
Can any unconditionally convergent multiplier be transformed to have the symbol (1) and Bessel sequences by shifting weights?
Diana T. Stoeva, Peter Balazs
Multipliers are operators that combine (frame-like) analysis, a multiplication with a fixed sequence, called the symbol, and synthesis. They are very interesting mathematical objec…
Representation of the inverse of a frame multiplier
Peter Balazs, Diana T. Stoeva
Certain mathematical objects appear in a lot of scientific disciplines, like physics, signal processing and, naturally, mathematics. In a general setting they can be described as f…
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…
Frames and Semi-Frames
Jean-Pierre Antoine, Peter Balazs
Loosely speaking, a semi-frame is a generalized frame for which one of the frame bounds is absent. More precisely, given a total sequence in a Hilbert space, we speak of an upper (…