118 citations · 790 across the 44 of their papers we have counts for
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Classification of General Sequences by Frame-Related Operators
Peter Balazs, Diana T. Stoeva, Jean-Pierre Antoine
This note is a survey and collection of results, as well as presenting some original research. For Bessel sequences and frames, the analysis, synthesis and frame operators as well…
Detailed characterization of unconditional convergence and invertibility of multipliers
Diana T. Stoeva, Peter Balazs
In this paper we investigate the possibility of unconditional convergence and invertibility of multipliers depending on the properties of the sequences , and .…
Multipliers for p-Bessel sequences in Banach spaces
Asghar Rahimi, Peter Balazs
Multipliers have been recently introduced as operators for Bessel sequences and frames in Hilbert spaces. These operators are defined by a fixed multiplication pattern (the symbol)…
Frames by Multiplication
Peter Balazs, Carlos Cabrelli, Sigrid Heineken +1
In this note we study frame-related properties of a sequence of functions multiplied by another function. In particular we study frame and Riesz basis properties. We apply these re…