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De Fourier a wavelets : un breve recorrido por el análisis tiempo-frecuencia
(2020)
Un pequeño tour por el análisis de Fourier. Definimos a la transformada continua de Fourier, presentamos y estudiamos los resultados principales de la serie de Fourier y de la transformada de Fourier discreta. Analizamos ...
Sign changes of Fourier coefficients of cusp forms supported on prime power indices
(World Scientific Publishing Co. Pte Ltd, 2014)
© World Scientific Publishing Company. Let f be an even integral weight, normalized, cuspidal Hecke eigenform over SL2(Z) with Fourier coefficients a(n). Let j be a positive integer. We prove that for almost all primes σ ...
A characterization of degree two Siegel cusp forms by the growth of their Fourier coefficients
(Walter de Gruyter Gmbh, 2014)
We characterize all cusp forms among the degree two Siegel modular forms by the growth of their
Fourier coefficients. We also give a similar result for Jacobi forms over the group SL2(Z) Z(2).
Examples of Fourier Series
(2016)
Examples of Fourier Series
(2011)
Fourier coefficientes computation in two variables, a distributional versionCálculo de Coeficientes de Fourier en dos variables, una versión distribucional
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2015)
Fourier coefficientes computation in two variables, a distributional versionCáluculo de Coeficientes de Fourier en dos variables, una versión distribucional
(2015-01-01)
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 ...
On computational aspects of discrete Sobolev inner products on the unit circle
(2013-09-17)
In this paper, we show how to compute in O(n2) steps the Fourier coefficients associated with the Gelfand-Levitan approach for discrete Sobolev orthogonal polynomials on the unit circle when the support of the discrete ...