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Fourier - Gauss transforms of the Askey - Wilson polynomials
Journal of Physics A: Mathematical and General, 1997The classical Fourier-Gauss transform can be written in the form \[ \frac{1}{\sqrt{2\pi}}\int_{-\infty}^{\infty}e^{isr-s^2/r}H_n(\sin\kappa s|q)ds =i^nq^{n^2/4}h_n(\sinh\kappa r|q)e^{-r^2/2}, \] where \(q=\exp(-2\kappa^2)\) and \(h_n(x|q)=i^{-n}H_n(ix|q^{-1})\). Here \(H_n(x|q)\) denotes the continuous \(q\)-Hermite polynomial. In [\textit{M.
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Linear Approximation and Reproduction of Polynomials by Wilson Bases
Journal of Fourier Analysis and Applications, 2002Wilson bases are created multiplying trigonometric functions by translates of a window function with good time/frequency localization. This article investigates the approximation of functions from Sobolev spaces by partial sums of the Wilson basis expansion. In particular, it is shown that the approximation can be improved if polynomials are reproduced.
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Topological materials discovery from crystal symmetry
Nature Reviews Materials, 2021Benjamin J Wieder +2 more
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Copper homeostasis and cuproptosis in health and disease
Signal Transduction and Targeted Therapy, 2022Junxia Min, Fudi Wang
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Ribosome-targeting antibiotics and mechanisms of bacterial resistance
Nature Reviews Microbiology, 2013Daniel N Wilson
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Liver cell death and anemia in Wilson disease involve acid sphingomyelinase and ceramide
Nature Medicine, 2007Philipp A Lang, , Saisudha Koka
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