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Estimates for the singular numbers of the sandwiched Airy transformation
2016 Days on Diffraction (DD), 2016Compactness conditions and estimates for the singular values of the sandwiched Airy transform fAg in ?2(R) are investigated for suitable functions f (x), g(x), x G R. Sufficient conditions for inclusion of the operator f Ag in the Schatten — von Neumann classes Sp, p G (0,2), are obtained.
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Cwikel type estimates for the bordered Airy transform
St. Petersburg Mathematical Journal, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Airy transform of Ince–Gaussian beams
Waves in Random and Complex Media, 2022Haiqi Huang +7 more
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On van der Corput-type lemmas for Bessel and Airy transforms and applications
Journal of Computational and Applied Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Properties of Airy transform of elegant Hermite-Gaussian beams
Optics and Laser Technology, 2021Guoquan Zhou, Rui-Pin Chen
exaly
A Solution of Airy Differential Equation Via Elzaki Transform
Kwaghe International Journal of Engineering and Information TechnologyThe Elzaki transform provides an elegant method to solve the Airy differential equation, leveraging its unique properties to handle the mixed derivative and variable coefficient terms. While the traditional methods remain standard, the Elzaki transform offers a powerful alternative, particularly when coupled with numerical techniques.
Suresh Kumar Sahani, Nand Kishor Kumar
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Airy$_β$ line ensemble and its Laplace transform
The Airy$_β$ line ensemble is a random collection of continuous curves, which should serve as a universal edge scaling limit in problems related to eigenvalues of random matrices and models of 2d statistical mechanics. This line ensemble unifies many existing universal objects including Tracy-Widom distributions, eigenvalues of the Stochastic Airy ...Gorin, Vadim, Xu, Jiaming, Zhang, Lingfu
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Diffraction characteristics of Hermite-Cosh-Gaussian beams through an Airy Transform Optical System
Journal of Modern Optics, 2020Abdelmajid Belafhal
exaly