Results 21 to 30 of about 8,384 (123)

WEIGHTED RIESZ BASES IN G-FUSION FRAMES AND THEIR PERTURBATION

Проблемы анализа, 2020
In this paper, we introduce orthonormal and Riesz bases for g-fusion frames and show that the weights have basic roles. Next, we prove an effective theorem between frames and g-fusion frames by using an operator. Finally, perturbations of g-fusion frames
Gh. Rahimlou, V. Sadri, R. Ahmadi
doaj   +1 more source

Multi-tiling sets, Riesz bases, and sampling near the critical density in LCA groups [PDF]

, 2015
We prove the existence of sampling sets and interpolation sets near the critical density, in Paley Wiener spaces of a locally compact abelian (LCA) group G .
Agora, Elona, Antezana, Jorge, Cabrelli, Carlos   +2 more
core   +2 more sources

Riesz multiwavelet bases

Applied and Computational Harmonic Analysis, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Han, Bin, Kwon, Soon-Geol, Park, Sang Soo   +2 more
openaire   +2 more sources

On R-duals and the duality principle in Gabor analysis [PDF]

, 2014
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 analysis.
AJEM Janssen, D Dutkay, Diana T. Stoeva, I Daubechies, I Daubechies, K Gröchenig, O Christensen, O Christensen, O Christensen, Ole Christensen, PG Casazza, R Balan, R Young, XM Xiao   +13 more
core   +1 more source

Data Driven Reconstruction Using Frames and Riesz Bases [PDF]

, 2021
We study the problem of regularization of inverse problems adopting a purely data driven approach, by using the similarity to the method of regularization by projection. We provide an application of a projection algorithm, utilized and applied in frames theory, as a data driven reconstruction procedure in inverse problems, generalizing the algorithm ...
Aspri, Andrea, Frischauf, Leon, Korolev, Yury, Scherzer, Otmar   +3 more
openaire   +3 more sources

Riesz Basicity for General Systems of Functions

Journal of Function Spaces, 2014
In this paper we find the general conditions for a complete biorthogonal conjugate system to form a Riesz basis. We show that if a complete biorthogonal conjugate system is uniformly bounded and its coefficient space is solid, then the system forms a ...
A. M. Sarsenbi, P. A. Terekhin
doaj   +1 more source

Continuous-Domain Formulation of Inverse Problems for Composite Sparse-Plus-Smooth Signals

IEEE Open Journal of Signal Processing, 2021
We present a novel framework for the reconstruction of 1D composite signals assumed to be a mixture of two additive components, one sparse and the other smooth, given a finite number of linear measurements.
Thomas Debarre, Shayan Aziznejad, Michael Unser   +2 more
doaj   +1 more source

A New Approach to Continuous Riesz Bases [PDF]

Journal of Sciences, Islamic Republic of Iran, 2013
This paper deals with continuous frames and continuous Riesz bases. We introduce continuous Riesz bases and give some equivalent conditions for a continuous frame to be a continuous Riesz basis.
A.A. Arefijamaal, R.A. Kamyabi Gol, R. Raisi Tousi, N. Tavallaei   +3 more
doaj  

Some New Notions of Bases for the Range of Operators in Hilbert Spaces [PDF]

Sahand Communications in Mathematical Analysis
This paper is devoted to introduce a new concept of bases for the range of the operator $K$. Actually, we consider controlled $K$-orthonormal and controlled $K$-Riesz bases which are a generalization of ordinary bases in Hilbert spaces. In the sequel, we
Hessam Hosseinnezhad
doaj   +1 more source

$G$-dual Frames in Hilbert $C^{*}$-module Spaces [PDF]

Sahand Communications in Mathematical Analysis, 2018
In this paper, we introduce the concept of $g$-dual frames for Hilbert $C^{*}$-modules, and then the properties and stability results of $g$-dual frames  are given.
Fatemeh Ghobadzadeh, Abbas Najati
doaj   +1 more source