On the analytical summation of Fourier series and its relation to the asymptotic behaviour of Fourier transforms

DOI10.1088/0305-4470/31/49/014zbMath0929.42004OpenAlexW2062292002MaRDI QIDQ4259872

Simon L. Marshall

Publication date: 25 January 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/31/49/014

zbMATH Keywords

Fourier transformsasymptotic propertiesPoisson summation formulaKummer transformationsemi-infinite and infinite Fourier series

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (1)

Acceleration of algebraically-converging Fourier series when the coefficients have series in powers of \(1/n\)

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