Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
Fourier coefficientes computation in two variables, a distributional version
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Keywords

Euler-Maclaurin sums
Fourier coefficients
distributions
Sumas Euler-Maclaurin
coeficientes de Fourier
distribuciones

How to Cite

Ulate R., C. M. (2015). Fourier coefficientes computation in two variables, a distributional version. Revista De Matemática: Teoría Y Aplicaciones, 22(1), 49–59. https://doi.org/10.15517/rmta.v22i1.17526

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.

https://doi.org/10.15517/rmta.v22i1.17526
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References

Estrada, R.; Kanwal R.P. (1994) Asymptotic Analysis: A Distributional Approach. Birkhäuser, Boston.

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.

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