Construction of Lighthill's unitary functions: The imbricate series of unity

DOI10.1016/S0096-3003(96)00145-2zbMath0909.42004OpenAlexW2045826533WikidataQ128118211 ScholiaQ128118211MaRDI QIDQ1126586

John P. Boyd

Publication date: 8 October 1998

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(96)00145-2

zbMATH Keywords

Fourier transformpartition of unityPoisson summation formulaunitary functions

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (7)

Asymptotic Fourier coefficients for a \(C^\infty\) bell (smoothed-``top-hat) \& the Fourier extension problem ⋮ Periodized radial basis functions. I: Theory. ⋮ The near-equivalence of five species of spectrally-accurate radial basis functions (RBFs): Asymptotic approximations to the RBF cardinal functions on a uniform, unbounded grid ⋮ Adaptive radial basis function and Hermite function pseudospectral methods for computing eigenvalues of the prolate spheroidal wave equation for very large bandwidth parameter ⋮ Compatibility conditions for time-dependent partial differential equations and the rate of convergence of Chebyshev and Fourier spectral methods ⋮ Four particular cases of the Fourier transform ⋮ A comparison of numerical algorithms for Fourier extension of the first, second, and third kinds

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