Results 21 to 30 of about 1,262 (79)
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
Unimodular Fourier multipliers with a time parameter on modulation spaces
Journal of Inequalities and Applications, 2014 In this paper, we mainly study the boundedness of unimodular Fourier multipliers with a time parameter eitp(ξ) on the modulation spaces where p(ξ) is a differentiable real-valued function, namely we estimate eitp(ξ) under the multiplier norm, denoted by ...
Congwei Song
semanticscholar +2 more sources
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
Spectrally two-uniform frames for erasures
, 2015 We continue to work on the problem of characterizing erasure-optimal frames when spectral radius is used as a measurement of the error operator. Spectrally optimal (N,n) -frames for one erasures are the ones that the minimal spectral error n/N can be ...
Saliha Pehlivan, D. Han, R. Mohapatra
semanticscholar +1 more source
Reconstruction of Bandlimited Functions from Unsigned Samples [PDF]
, 2010 We consider the recovery of real-valued bandlimited functions from the absolute values of their samples, possibly spaced nonuniformly. We show that such a reconstruction is always possible if the function is sampled at more than twice its Nyquist rate ...
B.Ya. Levin +15 more
core +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
Some new inequalities for K-frames
, 2018 In this paper, we establish some inequalities for dual K -frames from the point of view of operator theory. We also present a new inequality for Parseval K -frames associated with a scalar λ ∈ [0,1] , which is more general and covers one existing ...
Zhong-Qi Xiang
semanticscholar +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
Frame inequalities in Hilbert spaces: two-sided inequalities with new structures
Journal of Mathematical Inequalities. This paper is devoted to establishing frame inequalities in Hilbert spaces. By using operator theory methods, several two-sided inequalities for frames are presented, which, comparing to previous inequalities on frames and generalized frames, admit new
Zhong-Qi Xiang +2 more
semanticscholar +1 more source
New types of inequalities for fusion frames
, 2017 In this paper, we establish a more general inequality for fusion frames, which involves a scalar λ ∈ [0,1] . It is shown that the result we obtained covers the existing corresponding results recently given by Guo, Leng and Li. We also present several new
Zhong-Qi Xiang
semanticscholar +1 more source