Results 21 to 30 of about 2,291 (82)

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, Hernandez, Eugenio, Mayeli, Azita   +2 more
core   +3 more sources

Perturbation of frames in Banach spaces [PDF]

Asian-European Journal of Mathematics 5, No.1 (2012), 1250011, 2009
In this paper we consider perturbation of X_d-Bessel sequences, X_d-frames, Banach frames, atomic decompositions and X_d-Riesz bases in separable Banach spaces. Equivalence between some perturbation conditions is investigated.
arxiv   +1 more source

On the Riesz fusion bases in Hilbert spaces

Journal of the Egyptian Mathematical Society, 2013
In this paper we investigate the connection between fusion frames and obtain a relation between indexes of the synthesis operators of a Besselian fusion frame and associated frame to it. Next we introduce a new notion of a Riesz fusion bases in a Hilbert
Mohammad Sadegh Asgari
doaj   +1 more source

Scaling functions on the spectrum

Acta Universitatis Sapientiae: Mathematica, 2018
A generalization of Mallat’s classic theory of multiresolution analysis based on the theory of spectral pairs was considered by Gabardo and Nashed [4] for which the translation set Λ = {0, r/N}+2 ℤ is no longer a discrete subgroup of ℝ but a spectrum ...
Abdullah, Shah Firdous A.
doaj   +1 more source

Polyphase matrix characterization of framelets on local fields of positive characteristic

Acta Universitatis Sapientiae: Mathematica, 2017
An important tool for the construction of framelets on local fields of positive characteristic using unitary extension principle was presented by Shah and Debnath [Tight wavelet frames on local fields, Analysis, 33 (2013), 293-307].
Shah F. A., Bhat M. Y.
doaj   +1 more source

Phase Space Localization of Riesz bases for L^2(R^d) [PDF]

Revista Matem\'atica Iberoamericana, vol. 29 (2013), no.1, 115-134, 2011
We prove a strong uncertainty principle for Riesz bases in L^2(R^d) and show that the orthonormal basis constructed by Bourgain possesses the optimal phase-space localization.
arxiv   +1 more source

Two-channel sampling in wavelet subspaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
We develop two-channel sampling theory in the wavelet subspace V1 from the multi resolution analysis {Vj}j∈𝕫. Extending earlier results by G. G. Walter [11], W. Chen and S. Itoh [2] and Y. M.
Kim J.M., Kwon K.H.
doaj   +1 more source

$\ast$-g-frames in tensor products of hilbert $C^{\ast}$-modules

, 2017
In this paper, we study $\ast$-g-frames in tensor products of Hilbert $C^{\ast}$-modules.
Kabbaj, Samir, Rossafi, Mohamed
core   +2 more sources

New forms of bilateral inequalities for K-g-frames

Demonstratio Mathematica
In this work, several bilateral inequalities for KK-gg-frames in subspaces are established, drawing support from two kinds of operators induced, respectively, by the KK-gg-frame itself and the KK-dual pair, which, compared with previous ones concerning ...
Xiang Zhong-Qi
doaj   +1 more source

Constructive proof of the Carpenter's Theorem [PDF]

Can. Math. Bull. 57 (2014) 463-476, 2013
We give a constructive proof of Carpenter's Theorem due to Kadison. Unlike the original proof our approach also yields the real case of this theorem.
arxiv   +1 more source