Results 21 to 30 of about 163,902 (301)

A Hilbert transform for hermitean matrix functions on fractal domains [PDF]

open access: yes, 2012
We consider Holder continuous circulant (2 × 2) matrix functions defined on the fractal boundary of a Jordan domain in R2n. The main goal is to establish a Hilbert transform for such functions, within the framework of Hermitean Clifford analysis. This is
Abreu Blaya, Ricardo   +4 more
core   +2 more sources

Hilbert-Twin – A Novel Hilbert Transform-Based Method To Compute Envelope Of Free Decaying Oscillations Embedded In Noise, And The Logarithmic Decrement In High-Resolution Mechanical Spectroscopy HRMS

open access: yesArchives of Metallurgy and Materials, 2015
In this work, we present a novel Hilbert-twin method to compute an envelope and the logarithmic decrement, δ, from exponentially damped time-invariant harmonic strain signals embedded in noise.
Magalas L.B., Majewski M.
doaj   +1 more source

Vector valued inequalities for families of bilinear Hilbert transforms and applications to bi-parameter problems [PDF]

open access: yes, 2012
Muscalu, Pipher, Tao and Thiele \cite{MPTT} showed that the tensor product between two one dimensional paraproducts (also known as bi-parameter paraproduct) satisfies all the expected $L^p$ bounds.
Bateman   +11 more
core   +1 more source

On Finite Hilbert Transforms [PDF]

open access: yesTransactions of the American Mathematical Society, 1975
Let E be a bounded measurable subset of the real line. The finite Hilbert transform is the operator HE defined on one of the spaces LP(E) (1 1, the Hilbert transform of f at x is defined by (1) Hf(x) = li (rmi) f f(tXt -x) 1dt, provided this latter limit exists. It is known that if f is in LP(R), for p > 1, then Hf exists a.e.
openaire   +1 more source

Criterion on Lp1×Lp2→Lq-Boundedness for Oscillatory Bilinear Hilbert Transform

open access: yesAbstract and Applied Analysis, 2014
We investigate the bilinear Hilbert transform with oscillatory factors and the truncated bilinear Hilbert transform.
Zuoshunhua Shi, Dunyan Yan
doaj   +1 more source

Alternating Sunspot Area and Hilbert Transform Analysis [PDF]

open access: yesJournal of Astronomy and Space Sciences, 2011
We investigate the sunspot area data spanning from solar cycles 1 (March 1755) to 23 (December 2010) in time domain. For this purpose, we employ the Hilbert transform analysis method, which is used in the field of information theory.
Bang-Yeop Kim, Heon-Young Chang
doaj   +1 more source

Computing Instantaneous Frequency by normalizing Hilbert Transform [PDF]

open access: green, 2005
This invention presents Normalized Amplitude Hilbert Transform (NAHT) and Normalized Hilbert Transform(NHT), both of which are new methods for computing Instantaneous Frequency. This method is designed specifically to circumvent the limitation set by the
Norden E. Huang
openalex   +3 more sources

Generalized multidimensional Hilbert transforms in Clifford analysis

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
Two specific generalizations of the multidimensional Hilbert transform in Clifford analysis are constructed. It is shown that though in each of these generalizations some traditional properties of the Hilbert transform are inevitably lost, new bounded ...
Fred Brackx   +2 more
doaj   +1 more source

ON THE SUMMABILITY OF THE DISCRETE HILBERT TRANSFORM

open access: yesUral Mathematical Journal, 2018
In this paper, we study the asymptotic behavior of the distribution function of the discrete Hilbert transform of  sequences from the class \(l_{1} \) and find a necessary condition and a sufficient condition for the summability of the discrete Hilbert ...
Rashid A. Aliev, Aynur F. Amrahova
doaj   +1 more source

SPECTRAL ESTIMATION OF TIME SERIES

open access: yesСовременная наука и инновации, 2022
As a result of spectral analysis, namely, the fast Fourier transform (FFT) method, the wavelet transform method, the Hilbert-Huang transform method, certain periods of the time series representing the monthly average values of the sunspot numbers were ...
L. N. Dzhimbeeva   +5 more
doaj   +1 more source

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