Weighted Lebesgue and $$BMO^\gamma $$BMOγ norm inequalities for the Calderón and Hilbert operators
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-019-02298-6
Abstract: Necessary and sufficient conditions are given for generalized Calderón and Hilbert operators to be bounded from weighted Lebesgue spaces into suitable weighted BMO and Lipschitz spaces. Moreover, we have obtained new results on the boundedness… read more here.
Keywords: calder hilbert; lebesgue bmo; weighted lebesgue; hilbert operators ... See more keywords
Matrix Riemann–Hilbert problems with jumps across Carleson contours
Sign Up to like & getrecommendations! Published in 2018 at "Monatshefte Fur Mathematik"
DOI: 10.1007/s00605-017-1019-0
Abstract: We develop a theory of $$n \times n$$n×n-matrix Riemann–Hilbert problems for a class of jump contours and jump matrices of low regularity. Our basic assumption is that the contour $$\Gamma $$Γ is a finite union… read more here.
Keywords: riemann hilbert; matrix riemann; problems jumps; hilbert ... See more keywords
Numerical approximations of highly oscillatory Hilbert transforms
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DOI: 10.1007/s40314-020-01193-9
Abstract: In this paper, we are concerned with the numerical approximations of one-sided Hilbert transforms with oscillatory kernel by means of the multiple integrals. This type of Hilbert transform has two computing difficulties: singularity and oscillation.… read more here.
Keywords: hilbert transforms; highly oscillatory; oscillatory hilbert; hilbert ... See more keywords
Hilbert functions of certain rings of invariants via representations of the symmetric groups (with an appendix by Dejan Govc)
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DOI: 10.1016/j.jalgebra.2020.12.004
Abstract: Abstract In this paper we study rings of invariants arising in the study of finite dimensional algebraic structures. The rings we encounter are graded rings of the form K [ U ] Γ where Γ… read more here.
Keywords: hilbert; appendix dejan; dejan govc; rings invariants ... See more keywords
Hilbert square demodulation and error mitigation of the measured nonlinear structural dynamic response
Sign Up to like & getrecommendations! Published in 2021 at "Mechanical Systems and Signal Processing"
DOI: 10.1016/j.ymssp.2021.107935
Abstract: Abstract The Hilbert square demodulation is a useful tool for the measured dynamic response analysis. However, if the Bedrosian theorem is violated for the measured response, it causes significant error in the demodulation process. Thus,… read more here.
Keywords: dynamic response; response; demodulation; hilbert ... See more keywords
On the Estimation of Fundamental Frequency From Nonstationary Noisy Speech Signals Based on the Hilbert–Huang Transform
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DOI: 10.1109/lsp.2017.2782267
Abstract: This letter introduces a method based on the Hilbert–Huang transform (HHT) to estimate the fundamental frequency of nonstationary noisy speech signals. For this purpose, the target signals are analyzed by means of the ensemble empirical… read more here.
Keywords: noisy speech; hilbert; speech signals; fundamental frequency ... See more keywords
Riemann–Hilbert problem for the generalized modified Korteweg–de Vries equation with N distinct arbitrary-order poles
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DOI: 10.1142/s021798492150233x
Abstract: In this work, the generalized modified Korteweg–de Vries (gmKdV) equation is constructed by the first time and is solved by the Riemann–Hilbert method with the zero boundary condition. In the direct scattering transform, the analytical… read more here.
Keywords: riemann hilbert; generalized modified; hilbert problem; modified korteweg ... See more keywords
Semi-Fredholm theory on Hilbert $C^{*}$ -modules
Sign Up to like & getrecommendations! Published in 2019 at "Banach Journal of Mathematical Analysis"
DOI: 10.1215/17358787-2019-0022
Abstract: In this paper we establish the semi-Fredholm theory on Hilbert C*-modules as a continuation of Fredholm theory on Hilbert C*-modules established by Mishchenko and Fomenko. We give a definition of a semi-Fredholm operator on Hilbert… read more here.
Keywords: semi fredholm; theory hilbert; hilbert; hilbert modules ... See more keywords
Spectral denoising based on Hilbert–Huang transform combined with F-test
Sign Up to like & getrecommendations! Published in 2022 at "Frontiers in Chemistry"
DOI: 10.3389/fchem.2022.949461
Abstract: Due to the influence of uncontrollable factors such as the environment and instruments, noise is unavoidable in a spectral signal, which may affect the spectral resolution and analysis result. In the present work, a novel… read more here.
Keywords: hilbert huang; transform; spectral denoising; based hilbert ... See more keywords
Norm of Hilbert Operator’s Commutants
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DOI: 10.3390/axioms12050422
Abstract: In this study, we obtain the ℓp-norms of six classes of operators that commute with the infinite Hilbert operators. read more here.
Keywords: norm hilbert; operator commutants; hilbert; hilbert operator ... See more keywords
Localizing Spectral Interactions in the Resting State Network Using the Hilbert–Huang Transform
Sign Up to like & getrecommendations! Published in 2022 at "Brain Sciences"
DOI: 10.3390/brainsci12020140
Abstract: Brain synchronizations are orchestrated from neuronal oscillations through frequency interactions, such as the alpha rhythm during relaxation. Nevertheless, how the intrinsic interaction forges functional integrity across brain segregations remains elusive, thereby motivating recent studies to… read more here.
Keywords: hilbert huang; interactions resting; frequency; resting state ... See more keywords