Results 1 to 10 of about 62 (62)

Some new results on the weaving of K-g-frames in Hilbert spaces

open access: yesOpen Mathematics, 2021
In this paper, we provide some conditions for a K-woven pair of K-g-frames to be preserved under an operator and particularly, we report that applying two different operators to a K-woven pair of K-g-frames can leave them K-woven.
Xiang Zhong-Qi
doaj   +1 more source

Controlled K-Fusion Frame for Hilbert Spaces

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
K-fusion frames are a generalization of fusion frames in frame theory. In this paper, we extend the concept of controlled fusion frames to controlled K-fusion frames, and we develop some results on the controlled K-fusion frames for Hilbert spaces, which
Assila Nadia   +2 more
doaj   +1 more source

Instantaneous Frequency-Embedded Synchrosqueezing Transform for Signal Separation

open access: yesFrontiers in Applied Mathematics and Statistics, 2022
The synchrosqueezing transform (SST) and its variants have been developed recently as an alternative to the empirical mode decomposition scheme to model a non-stationary signal as a superposition of amplitude- and frequency-modulated Fourier-like ...
Qingtang Jiang   +3 more
doaj   +1 more source

Relay fusion frames in Banach spaces

open access: yesOpen Mathematics, 2023
The relay fusion frames have been recently introduced in Hilbert spaces to model sensor relay networks and distributed sensor relay systems, which are deeply connected with compressed sensing.
Hong Guoqing, Li Pengtong
doaj   +1 more source

OPTIMAL LINE PACKINGS FROM FINITE GROUP ACTIONS

open access: yesForum of Mathematics, Sigma, 2020
We provide a general program for finding nice arrangements of points in real or complex projective space from transitive actions of finite groups. In many cases, these arrangements are optimal in the sense of maximizing the minimum distance.
JOSEPH W. IVERSON   +2 more
doaj   +1 more source

Controlled Continuous g-Frames in Hilbert C*-Modules

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
Frame Theory has a great revolution in recent years. This Theory have been extended from Hilbert spaces to Hilbert C*-modules. The purpose of this paper is the introduction and the study of the concept of Controlled Continuous g-Frames in Hilbert C ...
Kabbaj S., Labrigui H., Touri A.
doaj   +1 more source

On anisotropic Triebel‐Lizorkin type spaces, with applications to the study of pseudo‐differential operators

open access: yesJournal of Function Spaces, Volume 6, Issue 2, Page 107-154, 2008., 2008
A construction of Triebel‐Lizorkin type spaces associated with flexible decompositions of the frequency space ℝd is considered. The class of admissible frequency decompositions is generated by a one parameter group of (anisotropic) dilations on ℝd and a suitable decomposition function.
Lasse Borup   +2 more
wiley   +1 more source

Dunkl wavelets and applications to inversion of the Dunkl intertwining operator and its dual

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 6, Page 285-293, 2004., 2004
We define and study Dunkl wavelets and the corresponding Dunkl wavelets transforms, and we prove for these transforms Plancherel and reconstruction formulas. We give as application the inversion of the Dunkl intertwining operator and its dual.
Abdellatif Jouini
wiley   +1 more source

Vanishing moments for scaling vectors

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 36, Page 1897-1908, 2004., 2004
One advantage of scaling vectors over a single scaling function is the compatibility of symmetry and orthogonality. This paper investigates the relationship between symmetry, vanishing moments, orthogonality, and support length for a scaling vector Φ. Some general results on scaling vectors and vanishing moments are developed, as well as some necessary
David K. Ruch
wiley   +1 more source

Infinite matrices, wavelet coefficients and frames

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 67, Page 3695-3702, 2004., 2004
We study the action of A on f ∈ L2(ℝ) and on its wavelet coefficients, where A=(almjk) lmjk is a double infinite matrix. We find the frame condition for A‐transform of f ∈ L2(ℝ) whose wavelet series expansion is known.
N. A. Sheikh, M. Mursaleen
wiley   +1 more source

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