Results 11 to 20 of about 62 (62)

Reconstruction in time‐warped weighted shift‐invariant spaces with application to spline subspaces

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 65, Page 4131-4137, 2003., 2003
We discuss the reproducing kernel structure in shift‐invariant spaces and the weighted shift‐invariant spaces, and obtain the reconstruction formula in time‐warped weighted shift‐invariant spaces, then apply them to a spline subspace. In the spline subspace, we give a reconstruction formula in a time‐warped spline subspace.
Jun Xian, Yongjin Li
wiley   +1 more source

Hardy‐Littlewood type inequalities for Laguerre series

International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 9, Page 533-540, 2002., 2002
Let {cj} be a null sequence of bounded variation. We give appreciate smoothness and growth conditions on {cj} to obtain the pointwise convergence as well as Lr‐convergence of Laguerre series ∑cj𝔏ja. Then, we prove a Hardy‐Littlewood type inequality ∫0∞|f(t)|rdt≤C∑j=0∞|cj|rj¯12−r/ for certain r ≤ 1, where f is the limit function of ∑cj𝔏ja.
Chin-Cheng Lin, Shu-Huey Lin
wiley   +1 more source

Biorthogonal multiresolution analyses and decompositions of Sobolev spaces

International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 9, Page 517-534, 2001., 2001
The object of this paper is to construct extension operators in the Sobolev spaces Hk(]−∞, 0]) and Hk([0, +∞[)(k ≥ 0). Then we use these extensions to get biorthogonal wavelet bases in Hk(ℝ). We also give a construction in L2([−1, 1]) to see how to obtain boundaries functions.
Abdellatif Jouini, Khalifa Trimèche
wiley   +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

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

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

Sampling Trajectories for the Short-Time Fourier Transform. [PDF]

J Fourier Anal Appl, 2022
Speckbacher M.
europepmc   +1 more source

On the relation of the frame-related operators of fusion frame systems. [PDF]

Sampl Theory Signal Process Data Anal, 2023
Köhldorfer L, Balazs P.
europepmc   +1 more source

Localization of Fréchet Frames and Expansion of Generalized Functions. [PDF]

Bull Malays Math Sci Soc, 2021
Pilipović S, Stoeva DT.
europepmc   +1 more source