Keywords
Fourier coefficients
distributions
Sumas Euler-Maclaurin
coeficientes de Fourier
distribuciones
How to Cite
Abstract
The present article, by considering the distributional summations of Euler-Maclaurin and a suitable choice of the distribution, results in repre- sentations for the Fourier coefficients in two variables are obtained. These representations may be used for the numerical evaluation of coefficients.
References
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Kanwal, R.P. (1997) Generalized Functions: Theory and Technique, 2a edición. Birkhäuser, Boston.
Lyness, J. N. (1970) “The calculation of Fourier coefficients by the Möbius inversion of the Poisson summation formula, Part I. Functions whose early derivatives are continuous”, Math. of Comp. 24: 101–135.
Schwartz, L. (1966) Théorie des Distributions. Hermann, Paris.
Ulate, C.M.; Estrada, R. (1998) “Una fórmula distribucional de sumación del tipo de Euler-Maclaurin en dos variables”, Divulgaciones Matemáticas 6: 93–112.