70 citations · 280 across the 24 of their papers we have counts for
27 papers
Oblique Pseudoinverses of Multipliers
Jerielle V. Malonzo, Diana T. Stoeva
Multipliers are operators on a Hilbert space that have been implicitly used in applications throughout the years. Multipliers are defined via three sequences and are mainly used in…
Celebrating Women in Mathematics
Diana T. Stoeva
This paper was motivated by the worldwide May 12 initiative that aims to celebrate, encourage, and inspire women in mathematics. It presents in short how the May 12 initiative has…
Asymptotic analysis for generalized functions using frames
Jasmina Veta Buralieva, Diana T. Stoeva, Katerina Hadzi-Velkova Saneva +1
This paper is a short overview of the main Abelian- and Tauberian-type results from [4, 14, 26] regarding the asymptotic analysis of different classes of generalized functions in t…
Constructions of dual frames compensating for erasures with implementation
Ljiljana Arambašić, Diana T. Stoeva
Let be a finite or infinite set and let be a frame for a separable Hilbert space . Consider transmission of a signal $h\in\mathc…
The mystery of Carleson frames
Ole Christensen, Marzieh Hasannasab, Friedrich Philipp +1
In 2016 Aldroubi et al. constructed the first class of frames having the form for a bounded linear operator on the underlying Hilbert space. In this paper w…
Weighted frames, weighted lower semi frames and unconditionally convergent multipliers
Peter Balazs, Rosario Corso, Diana Stoeva
In this paper we ask when it is possible to transform a given sequence into a frame or a lower semi frame by multiplying the elements by numbers. In other words, we ask when a give…
On compactly supported dual windows of Gabor frames
Diana T. Stoeva
The main purpose of the paper is to give a characterization of all compactly supported dual windows of a Gabor frame. As an application, we consider an iterative procedure for appr…
Dual frames compensating for erasures -- non-canonical case
Ljiljana Arambašić, Diana T. Stoeva
In this paper we study the problem of recovering a signal from frame coefficients with erasures. Suppose that erased coefficients are indexed by a finite set . Starting from a f…
On a characterization of Riesz bases via biorthogonal sequences
Diana T. Stoeva
It is well known that a sequence in a Hilbert space is a Riesz basis if and only if it is a complete Bessel sequence with biorthogonal sequence which is also a complete Bessel sequ…
Localization of Fréchet frames and expansion of generalized functions
Stevan Pilipović, Diana T. Stoeva
Matrix type operators with the off-diagonal decay of polynomial or sub-exponential types are revisited with weaker assumptions concerning row or column estimates, still giving the…
Operator representations of sequences and dynamical sampling
Ole Christensen, Marzieh Hasannasab, Diana T. Stoeva
This paper is a contribution to the theory of dynamical sampling. Our purpose is twofold. We first consider representations of sequences in a Hilbert space in terms of iterated act…
A survey on the unconditional convergence and the invertibility of multipliers with implementation
Diana T. Stoeva, Peter Balazs
The paper presents a survey over frame multipliers and related concepts. In particular, it includes a short motivation of why multipliers are of interest to consider, a review as w…
Frame expansions of test functions, tempered distributions, and ultradistributions
Stevan Pilipović, Diana T. Stoeva
The paper is devoted to frame expansions in Fréchet spaces. First we review some results which concern series expansions in general Fréchet spaces via Fréchet and General Fréchet f…
Frame Theory for Signal Processing in Psychoacoustics
Peter Balazs, Nicki Holighaus, Thibaud Necciari +1
This review chapter aims to strengthen the link between frame theory and signal processing tasks in psychoacoustics. On the one side, the basic concepts of frame theory are present…
On the dual frame induced by an invertible frame multiplier
Diana T. Stoeva, Peter Balazs
Recently it has been established that given an invertible frame multiplier with semi-normalized symbol, a specific dual of any of the two involved frames can be determined for the…
On various R-duals and the duality principle
Diana T. Stoeva, Ole Christensen
The duality principle states that a Gabor system is a frame if and only if the corresponding adjoint Gabor system is a Riesz sequence. In general Hilbert spaces and without the ass…
On R-duals and the duality principle in Gabor analysis
Diana T. Stoeva, Ole Christensen
The concept of R-duals of a frame was introduced by Casazza, Kutyniok and Lammers in 2004, with the motivation to obtain a general version of the duality principle in Gabor analysi…
Fréchet frames, general definition and expansions
Stevan Pilipović, Diana T. Stoeva
We define an {\it -frame} with Banach spaces , , and a -space $(Θ, \snorm[\cdot])$. Then by the use of decreasing sequ…
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…
Characterization of atomic decompositions, Banach frames, Xd-frames, duals and synthesis-pseudo-duals, with application to Hilbert frame theory
Diana T. Stoeva
In this paper we consider series expansions via a frame and a non-frame and the possibilities for interchange of the two sequences, both in the Hilbert and Banach space setting. Fi…
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 .…
Unconditional convergence and invertibility of multipliers
D. Stoeva, P. Balazs
In the present paper the unconditional convergence and the invertibility of multipliers is investigated. Multipliers are operators created by (frame-like) analysis, multiplication…