Results 11 to 20 of about 1,262 (79)
Journal 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
On some new inequalities for fusion frames in Hilbert spaces
, 2017 Recently fusion frame was considered as a generalization of frame in Hilbert spaces. In this paper, we establish several new inequalities for fusion frames with a scalar in Hilbert spaces.
Dong Li, Jinsong Leng
semanticscholar +1 more source
The Balian-Low theorem and noncommutative tori [PDF]
, 2018 We point out a link between the theorem of Balian and Low on the non-existence of well-localized Gabor-Riesz bases and a constant curvature connection on projective modules over noncommutative tori.Comment: 7 pages, to appear in Expositiones ...
Luef, Franz
core +2 more sources
Dunkl wavelets and applications to inversion of the Dunkl intertwining operator and its dual
International 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
New inequalities for g-frames in Hilbert C^✻-modules
, 2016 In this paper, we establish several new inequalities for g-frames in Hilbert C∗ -modules which are different in structure from those previously obtained by Balan et al. for Hilbert space frames.
Zhong-Qi Xiang
semanticscholar +1 more source
Lattice sub-tilings and frames in LCA groups [PDF]
, 2016 Given a lattice $\Lambda$ in a locally compact abelian group $G$ and a measurable subset $\Omega$ with finite and positive measure, then the set of characters associated to the dual lattice form a frame for $L^2(\Omega)$ if and only if the distinct ...
Barbieri, Davide +2 more
core +3 more sources
Vanishing moments for scaling vectors
International 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
International 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
ON |Kλ| SUMMABILITY OF ORTHOGONAL SERIES
Poincare journal of analysis and applications, 2019 . In this paper we obtain some sufficient conditions on |(N, p, q)(E, 1)|k, (1 ≤ k ≤ 2), summability of an orthogonal series. These conditions are expressed in terms of the coefficients of the orthogonal series. Several important results are also deduced
X. Krasniqi
semanticscholar +1 more source
The Bourgain-Tzafriri conjecture and concrete constructions of non-pavable projections [PDF]
, 2010 It is known that the Kadison-Singer Problem (KS) and the Paving Conjecture (PC) are equivalent to the Bourgain-Tzafriri Conjecture (BT). Also, it is known that (PC) fails for $2$-paving projections with constant diagonal $1/2$.
Casazza, Peter G. +3 more
core +3 more sources