Results 31 to 40 of about 471,906 (281)
, 2017 In this article, the authors give a lower bound on the number of sign changes of Fourier coefficients of a non-zero degree two Siegel cusp form of even integral weight on a Hecke congruence subgroup.
Gun, S., Sengupta, J.
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Some theorems on Fourier coefficients [PDF]
Proceedings of the American Mathematical Society, 1959 where P is given by (1.1)? If one allows the coefficients Cn to be complex numbers of absolute value 1, an affirmative answer to the question is furnished by the partial sums of the series ZE inlogneinO; this example is due to Hardy and Littlewood [4, pp. 116-118]. A theorem of Salem and Zygmund [2, pp. 270, 278] shows, roughly speaking, that (N log N)"
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Efficient Fourier Single-Pixel Imaging with Gaussian Random Sampling
Photonics, 2021 Fourier single-pixel imaging (FSI) is a branch of single-pixel imaging techniques. It allows any image to be reconstructed by acquiring its Fourier spectrum by using a single-pixel detector.
Ziheng Qiu +5 more
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On the relationships between Fourier - Stieltjes coefficients and spectra of measures
, 2014 We construct examples of uncountable compact subsets of complex numbers with the property that any Borel measure on the circle group taking values of its Fourier coefficients from this set has natural spectrum.
Ohrysko, Przemysław +1 more
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, 2009 A new method is presented for Fourier decomposition of the Helmholtz Green Function in cylindrical coordinates, which is equivalent to obtaining the solution of the Helmholtz equation for a general ring source.
A. Erdélyi +18 more
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Visual Recovery Reflects Cortical MeCP2 Sensitivity in Rett Syndrome
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Rett syndrome (RTT) is a devastating neurodevelopmental disorder with developmental regression affecting motor, sensory, and cognitive functions. Sensory disruptions contribute to the complex behavioral and cognitive difficulties and represent an important target for therapeutic interventions.
Alex Joseph Simon +12 more
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Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2023 In this paper, differential-differential difference equations with variable coefficients have been solved using the Fourier Transform Method (FTM). In addition, new definitions and theorems are introduced.
Sunnet Avezov, Murat Düz, Ahmad Issa
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A new and efficient method for the computation of Legendre coefficients [PDF]
, 2011 An efficient procedure for the computation of the coefficients of Legendre expansions is here presented. We prove that the Legendre coefficients associated with a function f(x) can be represented as the Fourier coefficients of an Abel-type transform of f(
De Micheli, Enrico +1 more
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Convex functions and Fourier coefficients [PDF]
Proceedings of the American Mathematical Society, 1985 Let f f be a continuous function defined on the interval ( 0 , 1 ) (0,1) . For n = 1 , 2 , … n = 1,2, \ldots and 0 > s > t > 1 0 > s > t >
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A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
Advanced Engineering Materials, EarlyView.This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
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