Weighted and controlled frames have been introduced recently to improve the numerical
efficiency of iterative algorithms for inverting the frame operator. In this paper, we develop …

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 …

In this paper we deal with the theory of Hilbert–Schmidt operators, when the usual choice of
orthonormal basis, on the associated Hilbert spaces, is replaced by frames. We More …

Multipliers have been recently introduced by P. Balazs as operators for Bessel sequences
and frames in Hilbert spaces. These are operators that combine (frame-like) analysis, a …

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) …

This chapter offers a detailed survey on intrinsically localized frames and the corresponding
matrix representation of operators. We re-investigate the properties of localized frames and …

Starting from a general operator representation in the time-frequency domain, this paper
addresses the problem of approximating linear operators by operators that are diagonal or …

Multipliers are operators that combine (frame-like) analysis, a multiplication with a fixed
sequence, called the symbol, and synthesis. They are very interesting mathematical objects …

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 as …

In this paper, we introduce the concept of G-BESSEL multipliers which generalizes Bessel
multipliers for G-BESSEL sequences and we study the properties of G-BESSEL multipliers …