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On linear weak predictability with single point spectrum degeneracy

期刊: APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021; 53 ()

The paper studies predicting problems for continuous time signals with the Fourier transforms vanishing with a certain rate at a single point. It show......

Inversion of the attenuated X-ray transforms-Method of convolution-backprojection

期刊: APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021; 54 ()

The attenuated X-ray transform arises from the image reconstruction in single photon emission computed tomography. The theory of attenuated X-ray tran......

Rician noise removal via weighted nuclear norm penalization

期刊: APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021; 53 ()

Rician noise is a common noise that naturally appears in Magnetic Resonance Imaging (MRI) images. Low rank matrix approximation approaches have been w......

Fractional Hardy-Sobolev L-1-embedding per capacity-duality

期刊: APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021; 51 ()

This paper explores essence of the fractional (0 < s < 1) Hardy-Sobolev L(1-)embedding parallel to u parallel to(Ln/n-s) less than or similar to......

Regularization with multilevel non-stationary tight framelets for image restoration

期刊: APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021; 53 ()

Variational regularization models are one of the popular and efficient approaches for image restoration. The regularization functional in the model ca......

Distributed regularized least squares with flexible Gaussian kernels

期刊: APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021; 53 ()

We propose a distributed learning algorithm for least squares regression in reproducing kernel Hilbert spaces (RKHSs) generated by flexible Gaussian k......

Wavelet characterization of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type and its applications

期刊: APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021; 54 ()

In this article, the authors establish the wavelet characterization of Besov and Triebel-Lizorkin spaces on a given space (X, d, mu) of homogeneous ty......

On the Schatten p-quasi-norm minimization for low-rank matrix recovery

期刊: APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021; 51 ()

The first part of the paper proves the conjectures on inequalities in the Schatten p-quasi-norm of matrices. The second part of the paper uses the ine......

Scaling limit of modulation spaces and their applications

期刊: APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021; 53 ()

Modulation spaces M-p,q(s) were introduced by Feichtinger [11] in 1983. Benyi and Oh [2] defined a modified version to Feichtinger's modulation spaces......

Time-scale-chirp_rate operator for recovery of non-stationary signal components with crossover instantaneous frequency curves

期刊: APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021; 54 ()

The objective of this paper is to introduce an innovative approach for the recovery of non-stationary signal components with possibly crossover instan......

Maximum entropy models from phase harmonic covariances

期刊: APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021; 53 ()

The covariance of a stationary process X is diagonalized by a Fourier transform. It does not take into account the complex Fourier phase and defines G......

Phase retrieval for sub-Gaussian measurements

期刊: APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021; 53 ()

Generally, the phase retrieval problem can be viewed as the reconstruction of a function/signal from only the magnitude of linear measurements. These ......

Signal separation based on adaptive continuous wavelet-like transform and analysis

期刊: APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021; 53 ()

In nature and the technology world, acquired signals and time series are usually affected by multiple complicated factors and appear as multi-componen......

Low-rank matrix recovery via regularized nuclear norm minimization

期刊: APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021; 54 ()

In this paper, we theoretically investigate the low-rank matrix recovery problem in the context of the unconstrained regularized nuclear norm minimiza......

Random sampling and reconstruction of concentrated signals in a reproducing kernel space

期刊: APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021; 54 ()

In this paper, we consider (random) sampling of signals concentrated on a bounded Corkscrew domain Omega of a metric measure space, and reconstructing......

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