Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Stoeva, Diana T."'
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 terms of appropriate frames. The Tauberian-type results provide a compr
Externí odkaz:
http://arxiv.org/abs/2404.04468
Autor:
Arambašić, Ljiljana, Stoeva, Diana T.
Let $I\subseteq \Bbb N$ be a finite or infinite set and let ${(x_n)_{n\in I}}$ be a frame for a separable Hilbert space $\mathcal{H}$. Consider transmission of a signal $h\in\mathcal{H}$ where a finite subset $(\langle h,x_n\rangle)_{n\in E}$ of the
Externí odkaz:
http://arxiv.org/abs/2404.04464
Autor:
Stoeva, Diana T.
Publikováno v:
Journal of Mathematical Analysis and Applications 505, Issue 1, 2022, 125436
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 approximation of the canonical dual window via compactly supported dual wi
Externí odkaz:
http://arxiv.org/abs/2103.00927
Autor:
Arambašić, Ljiljana, Stoeva, Diana T.
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 $E$. Starting from a frame $(x_n)_{n=1}^\infty$ and its arbitrary dual frame, we give suffic
Externí odkaz:
http://arxiv.org/abs/2011.07899
Autor:
Stoeva, Diana T.
Publikováno v:
Journal of Fourier Analysis and Applications 26, No. 4, Article number 67 (2020)
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 sequence. Here we prove that the completeness of one (any one) of the bior
Externí odkaz:
http://arxiv.org/abs/1912.07774
Autor:
Pilipović, Stevan, Stoeva, Diana T.
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 continuity results for the frame type operators. Such results are exte
Externí odkaz:
http://arxiv.org/abs/1907.01147
Publikováno v:
Sampling Theory in Signal and Image Processing 17, No. 1 (2018), 29-42
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 actions of a bounded linear operator. This generalizes recent results abo
Externí odkaz:
http://arxiv.org/abs/1804.00077
Autor:
Stoeva, Diana T., Balazs, Peter
Publikováno v:
In: Casey, S. D., Okoudjou, K., Robinson, M., Sadler, B. (eds.), Sampling - Theory and Applications, Applied and Numerical Harmonic Analysis, 2020, 169-192
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 well as extension of recent results, devoted to the unconditional conve
Externí odkaz:
http://arxiv.org/abs/1803.00415
Autor:
Pilipović, Stevan, Stoeva, Diana T.
Publikováno v:
In: Lindahl K., Lindstr\"om T., Rodino L., Toft J., Wahlberg P. (eds) Analysis, Probability, Applications, and Computation. Trends in Mathematics. Birkh\"auser Cham, 2019, 455-463
The paper is devoted to frame expansions in Fr\'echet spaces. First we review some results which concern series expansions in general Fr\'echet spaces via Fr\'echet and General Fr\'echet frames. Then we present some new results on series expansions o
Externí odkaz:
http://arxiv.org/abs/1712.06739
Autor:
Stoeva, Diana T.
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 January 2022 505(1)
