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
Approximation of the Hilbert Transform On The Unit Circle
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DOI: 10.1007/s10915-025-03044-3
Abstract: The paper deals with the numerical approximation of the Hilbert transform on the unit circle using Szegő and anti-Szegő quadrature formulas. These schemes exhibit maximum precision with oppositely signed errors and allow for improved accuracy… read more here.
Keywords: hilbert; hilbert transform; transform unit; approximation 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
Projective Nullstellensatz for not necessarily algebraically closed fields
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DOI: 10.1142/s0219498825410208
Abstract: The Nullstellensatz, proved by Hilbert in 1893, is a classical result that holds when the base field is algebraically closed. When the base field is finite, a version of Hilbert's Nullstellensatz is given by Terjanian… read more here.
Keywords: algebraically closed; closed fields; base field; hilbert ... 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
Microwave fractional Hilbert transformer implemented in a dispersion-tailored few-mode fiber.
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DOI: 10.1364/oe.522981
Abstract: We experimentally demonstrate, for the first time to our knowledge, a microwave fractional Hilbert transformer in a few-mode fiber using a transversal filtering approach. The filter taps are provided by a tunable true-time delay line… read more here.
Keywords: mode fiber; fractional hilbert; microwave fractional; hilbert ... See more keywords