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Generalized non-Hermitian Hamiltonian for guided resonances in photonic crystal slabs. [PDF]
Nguyen VA +8 more
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General multifractional Fourier transform method based on the generalized permutation matrix group
IEEE Transactions on Signal Processing, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiwen Ran, D S Yeung, E C C Tsang
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A generalization of the Fourier pseudospectral method
Abstract The Fourier pseudospectral (PS) method is generalized to the case of derivatives of nonnatural order (fractional derivatives) and irrational powers of the differential operators. The generalization is straightforward because the calculation of the spatial derivatives with the fast Fourier transform is performed in the ...
José M. Carcione
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Computers and Mathematics With Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xueyang Li, Aiguo Xiao
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xueyang Li, Aiguo Xiao
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The Generalized Fourier Series Method
This book explains in detail the generalized Fourier series technique for the approximate solution of a mathematical model governed by a linear elliptic partial differential equation or system with constant coefficients.
Christian Constanda, Dale Doty
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On the Summability of Fourier Series by the Generalized Cesáro Method
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2022The analogous of Lebesgue-Gergen convergence test for generalized Ces´aro means of Fourier trigonometric series is given.
Akhobadze, T., Gognadze, G.
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Explicit formulas for the Dunkl dihedral kernel and the (κ,a)-generalized Fourier kernel
In this paper, a new method is developed to obtain explicit and integral expressions for the kernel of the (k,a)-generalized Fourier transform for k=0. In the case of dihedral groups, this method is also applied to the Dunkl kernel as well as the Dunkl ...
Denis Constales +2 more
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The Fourier Method and the Generalized Solution of the Mixed Problem for Inhomogeneous Wave Equation
Lobachevskii Journal of MathematicsI S Lomov, Lomov I S
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