Results 51 to 60 of about 746,026 (201)
Riesz transforms for Dunkl Hermite expansions
Journal of Mathematical Analysis and Applications, 2015 In the present paper, we establish that Riesz transforms for Dunkl Hermite expansion as introduced in [4] are singular integral operators with Hörmander's type conditions and we show that are bounded on $L^p(\mathbb{R}^d; dμ_k) 1 < p < 1.
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Laser &Photonics Reviews, EarlyView.An optical approach is proposed for real‐time and high‐precision detection of the magnetostrictive deformation of an yttrium‐iron‐garnet sphere in three dimensions, based on the deformation induced spatial high‐order modes of the scattered field, postselection, and balanced homodyne detection.
Xiaomin Liu +5 more
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Boundedness of the Segal-Bargmann Transform on Fractional Hermite-Sobolev Spaces
Journal of Function Spaces, 2017 Let s∈R and 2≤p≤∞. We prove that the Segal-Bargmann transform B is a bounded operator from fractional Hermite-Sobolev spaces WHs,pRn to fractional Fock-Sobolev spaces FRs,p.
Hong Rae Cho, Hyunil Choi, Han-Wool Lee
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Fourier transforms and the Hermite-Biehler theorem [PDF]
Proceedings of the American Mathematical Society, 1989 A new necessary and sufficient condition for real entire functions, represented by Fourier transforms, to have only real zeros is proved. An application of this result to the Riemann ξ
Csordas, G., Varga, R. S.
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From tetrachoric to kappa: How to assess reliability on binary scales
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract Reliability is crucial in psychometrics, reflecting the extent to which a measurement instrument can discriminate between individuals or items. While classical test theory and intraclass correlation coefficients are well‐established for quantitative scales, estimating reliability for binary outcomes presents unique challenges due to their ...
Sophie Vanbelle
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Applications of Hermite transforms in computer algebra
Advances in Applied Mathematics, 2003 The author presents an algorithm that compute the Hermite transform of a rational function and use it to find linearly independent solutions of a linear differential equation with polynomial coefficients.
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British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract Traditional item response theory (IRT) models involve symmetric response probability functions, but a developing area of research has focused on asymmetric alternatives. To date, these studies have focused primarily on introducing new asymmetric models, detailing their mathematical formulations, explaining how to interpret their item ...
Hyejin Shim, Wes Bonifay
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Dunkl Transform of the Generalized Hermite Polynomials
AxiomsWe investigate the Fp,2 Dunkl transform of generalized Hermite polynomials (GHPs) and obtain their Fp,2 transform explicitly, reducing to the well-known Fourier transform when p=0.
Esra Çekirdek +2 more
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Spectral Approach to Plasma Kinetic Simulations Based on Hermite Decomposition in the Velocity Space
Frontiers in Astronomy and Space Sciences, 2018 Spectral (transform) methods for solution of Vlasov-Maxwell system have shown significant promise as numerical methods capable of efficiently treating fluid-kinetic coupling in magnetized plasmas.
Vadim Roytershteyn, Gian Luca Delzanno
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British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract Measurement non‐invariance arises when the psychometric properties of a scale differ across subgroups, undermining the validity of group comparisons. At the item level, this manifests as differential item functioning (DIF), where item responses differ across groups after controlling for the latent trait.
Gabriel Wallin, Qi Huang
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