Localization Operators in the Realm of k‐Hankel Wigner Distribution
Sign Up to like & getrecommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.70062
Abstract: This study aims to address the fundamental question: As the harmonic analysis associated with the k$$ k $$ ‐Hankel transform has witnessed remarkable development, does there exist an equivalent of the theory of localization operators… read more here.
Keywords: hankel; wigner distribution; localization operators; localization ... See more keywords
The solution of elastostatic and dynamic problems using the boundary element method based on spherical Hankel element framework
Sign Up to like & getrecommendations! Published in 2017 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.5595
Abstract: Summary In this paper, new spherical Hankel shape functions are utilized to reformulate boundary element method for two-dimensional (2D) elastostatic and elastodynamic problems. To this end, the dual reciprocity (DR) boundary element method (BEM) is… read more here.
Keywords: element method; boundary element; hankel; spherical hankel ... See more keywords
Reproducing Kernel Thesis of Hankel Operators on Weighted Hardy Spaces
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DOI: 10.1007/s00020-025-02795-w
Abstract: We study the boundedness of Hankel operators between two weighted spaces, with Muckenhoupt weights. In particular, we consider whether the Reproducing Kernel Thesis for Hankel operators generalizes to the case of two different weights. There,… read more here.
Keywords: reproducing kernel; operator; hankel; hankel operators ... See more keywords
Reflection positivity and Hankel operators—the multiplicity free case
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2022.109493
Abstract: We analyze reflection positive representations in terms of positive Hankel operators. This is motivated by the fact that positive Hankel operators are described in terms of their Carleson measures, whereas the compatibility condition between representations… read more here.
Keywords: hankel; hankel operators; reflection positive; positive hankel ... See more keywords
Kernels and ranks of Hankel operators on the Dirichlet spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.02.002
Abstract: Abstract We consider Hankel operators and little Hankel operators on the Dirichlet space and pluriharmonic Dirichlet space of the unit ball. We first describe kernels of Hankel operators with pluriharmonic symbol. Next, we prove that… read more here.
Keywords: operators pluriharmonic; dirichlet space; operators dirichlet; hankel ... See more keywords
The Hurwitz-type theorem for the regular Coulomb wave function via Hankel determinants
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DOI: 10.1016/j.laa.2018.03.012
Abstract: Abstract We derive a closed formula for the determinant of the Hankel matrix whose entries are given by sums of negative powers of the zeros of the regular Coulomb wave function. This new identity applied… read more here.
Keywords: regular coulomb; wave function; coulomb wave; hankel ... See more keywords
Estimation of Hankel inequalities of symmetric starlike functions in crescent-shaped domains and their application in image processing
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DOI: 10.1038/s41598-025-12935-2
Abstract: This study explores some geometric properties of the class of symmetric starlike functions associated with a Crescent-shaped domain denoted by \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {SS}^{*}_{\mathcalligra{cre}}$$\end{document}. Initially, we establish key… read more here.
Keywords: image; image processing; hankel; crescent shaped ... See more keywords
Structure, boundedness, and convergence in the dual of a Hankel-K{Mp } space
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DOI: 10.1080/10652469.2020.1813128
Abstract: ABSTRACT Hankel- spaces, as introduced by the second-named author, play the same role in the theory of the Hankel transformation as the Gelfand-Shilov spaces in the theory of the Fourier transformation. For , under suitable… read more here.
Keywords: boundedness convergence; space; structure boundedness; hankel ... See more keywords
A new method of noise reduction grounded on the Hankel matrix and its application in rubbing fault diagnosis
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DOI: 10.1088/1361-6501/ad5225
Abstract: In processing signals with singular value decomposition (SVD), one of the keys lies in building an appropriate Hankel matrix from signals. To address the difficulty in extracting the feature information of rubbing faults between rotor… read more here.
Keywords: rubbing fault; hankel; hankel matrix; new method ... See more keywords
Sparse and Low-Rank Decomposition of a Hankel Structured Matrix for Impulse Noise Removal
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DOI: 10.1109/tip.2017.2771471
Abstract: Recently, the annihilating filter-based low-rank Hankel matrix (ALOHA) approach was proposed as a powerful image inpainting method. Based on the observation that smoothness or textures within an image patch correspond to sparse spectral components in… read more here.
Keywords: image; impulse noise; matrix; hankel ... See more keywords
Projected Gradient Descent for Spectral Compressed Sensing via Symmetric Hankel Factorization
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Transactions on Signal Processing"
DOI: 10.1109/tsp.2024.3378004
Abstract: Current spectral compressed sensing methods via Hankel matrix completion employ symmetric factorization to demonstrate the low-rank property of the Hankel matrix. However, previous non-convex gradient methods only utilize asymmetric factorization to achieve spectral compressed sensing.… read more here.
Keywords: gradient descent; factorization; hankel; spectral compressed ... See more keywords