Results 21 to 30 of about 1,130 (54)

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

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

Characterization and Construction of Phase Retrievable Sequences

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we study phase retrievable sequences and give a characterization of phase retrievability of a sequence of bounded linear operators on a Hilbert space H; in particular, for H=l2dℂ. We also give several approaches for constructing phase retrievable sequences. Then, we investigate the property of phase retrievable for g‐frames and frames.
F. Javadi, M. J. Mehdipour, Pramita Mishra   +2 more
wiley   +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

A quantitative Balian-Low theorem

, 2012
We study functions generating Gabor Riesz bases on the integer lattice. The classical Balian-Low theorem restricts the simultaneous time and frequency localization of such functions.
Nitzan, Shahaf, Olsen, Jan-Fredrik
core   +1 more source

Counterexamples to the B-spline conjecture for Gabor frames

, 2015
The frame set conjecture for B-splines $B_n$, $n \ge 2$, states that the frame set is the maximal set that avoids the known obstructions. We show that any hyperbola of the form $ab=r$, where $r$ is a rational number smaller than one and $a$ and $b ...
Lemvig, Jakob, Nielsen, Kamilla Haahr
core   +1 more source

Iterations of the generalized Gram-Schmidt procedure for generating Parseval frames [PDF]

, 2016
In this paper we describe some properties of the generalized Gram-Schmidt procedure (GGSP) for generating Parseval frames which was first introduced by Casazza and Kutyniok [A generalization of Gram-Schmidt orthogonalization generating all Parseval ...
Berić, Tomislav
core   +2 more sources

Controlled G-Frames and Their G-Multipliers in Hilbert spaces

, 2012
Multipliers have been recently introduced by P. Balazs as operators for Bessel sequences and frames in Hilbert spaces. These are operators that combine (frame-like) analysis, a multiplication with a fixed sequence (called the symbol) and synthesis ...
Fereydooni, Abolhassan, Rahimi, Asghar
core   +2 more sources

Quantum injectivity of G-frames in Hilbert spaces

Demonstratio Mathematica
Inspired by some recent work on the quantum detection problem by discrete frames and continuous frames, in this article, we examine the quantum detection problem with G-frames.
Hong Guoqing, Wan Linbin, Zhang Jianxia
doaj   +1 more source

Asymptotics of orthogonal polynomials via the Koosis theorem

, 2005
The main aim of this short paper is to advertize the Koosis theorem in the mathematical community, especially among those who study orthogonal polynomials. We (try to) do this by proving a new theorem about asymptotics of orthogonal polynomials for which
Nazarov, F., Volberg, A., Yuditskii, P.
core   +1 more source