Results 101 to 110 of about 163,902 (301)

On the Existence of the Ergodic Hilbert Transform [PDF]

open access: yesThe Annals of Probability, 1987
The main result of the paper is the equivalence between the existence of ergodic Hilbert transform and the ergodic average in the sense of almost sure convergence for a unitary operator in \(L_ 2\). To prove this result the author uses the spectral representation of this operator.
openaire   +2 more sources

Exploring Aromaticity in Expanded Porphyrins: A Multidimensional Approach to Structure–Property Relationships

open access: yesChemistry–Methods, EarlyView.
Expanded porphyrins, with their flexible structures and rich redox chemistry, offer a powerful platform to explore how aromaticity shapes molecular properties. This review introduces a multidimensional framework to quantify Hückel and Möbius aromaticity and examines its impact on the spectroscopic behavior across redox‐ and topology‐controlled expanded
Freija De Vleeschouwer   +2 more
wiley   +1 more source

Synthesis of Spatially Correlated Earthquake Ground Motions Based on Hilbert Transform

open access: yesModelling and Simulation in Engineering, 2017
A simplified method for synthesizing spatially correlated earthquake ground motions is developed based on Hilbert transform and a reference earthquake record. In this method, one reference earthquake record is treated as the original ground motion, based
Erlei Yao, Yu Miao, Guobo Wang
doaj   +1 more source

Hilbert-Twin – A Novel Hilbert Transform-Based Method To Compute The Elastic Modulus In High-Resolution Mechanical Spectroscopy HRMS

open access: yesArchives of Metallurgy and Materials, 2015
A novel Hilbert-twin (H-twin) method is introduced as an alternative method for the computation of the resonant frequency for exponentially damped free decays embedded in noise.
Majewski M., Magalas L.B.
doaj   +1 more source

Dimer models and conformal structures

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala   +3 more
wiley   +1 more source

MQAM modulation scheme recognition using Hilbert transform

open access: yesTongxin xuebao, 2007
A modulation scheme recognition algorithm for MQAM signals was proposed.The method does not require the prior information about baud rate and carrier frequency of the received signals.Baud rate is estimated first,then re-sampling,Hilbert transformation ...
XI Jia-xi, WANG Zong-xin
doaj   +2 more sources

Oscillation and variation for the Hilbert transform

open access: yesDuke Mathematical Journal, 2000
For the Hilbert transform \[ Hf(x)= \text{p.v. }{1\over\pi} \int_{\mathbb{R}} t^{-1} f(x-t) dt,\tag{1} \] one defines \[ H_\varepsilon f(x)= {1\over\pi} \int_{|t|>\varepsilon} t^{-1}f(x- t) dt. \] In this paper, the authors consider the oscillation and variation of the family \(\{H_\varepsilon\}\) as \(\varepsilon\) goes to zero, which gives extra ...
Campbell, James T.   +3 more
openaire   +4 more sources

Ghost effect from Boltzmann theory

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito   +3 more
wiley   +1 more source

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