On étudie un analogue à plusieurs variables réelles de la théorie de Riemann des séries trigonométriques vue sous l’angle des pseudofonctions, en utilisant le laplacien intégral et la fonction de Riemann qui découle de ce choix.
An analogue in several real variables of Riemann’s theory on trigonometric series is studied, with emphasis on pseudofunctions and using the integral laplacian and the Riemann’s function which follows from this choice.
@article{AIF_1994__44_1_197_0,
author = {Gonz\'alez Vieli, Francisco Javier},
title = {Int\'egrales trigonom\'etriques et pseudofonctions},
journal = {Annales de l'Institut Fourier},
pages = {197--211},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {44},
number = {1},
year = {1994},
doi = {10.5802/aif.1394},
mrnumber = {95a:42021},
zbl = {0791.42010},
language = {fr},
url = {http://archive.numdam.org/articles/10.5802/aif.1394/}
}
TY - JOUR AU - González Vieli, Francisco Javier TI - Intégrales trigonométriques et pseudofonctions JO - Annales de l'Institut Fourier PY - 1994 SP - 197 EP - 211 VL - 44 IS - 1 PB - Institut Fourier PP - Grenoble UR - http://archive.numdam.org/articles/10.5802/aif.1394/ DO - 10.5802/aif.1394 LA - fr ID - AIF_1994__44_1_197_0 ER -
%0 Journal Article %A González Vieli, Francisco Javier %T Intégrales trigonométriques et pseudofonctions %J Annales de l'Institut Fourier %D 1994 %P 197-211 %V 44 %N 1 %I Institut Fourier %C Grenoble %U http://archive.numdam.org/articles/10.5802/aif.1394/ %R 10.5802/aif.1394 %G fr %F AIF_1994__44_1_197_0
González Vieli, Francisco Javier. Intégrales trigonométriques et pseudofonctions. Annales de l'Institut Fourier, Tome 44 (1994) no. 1, pp. 197-211. doi : 10.5802/aif.1394. http://archive.numdam.org/articles/10.5802/aif.1394/
[AW] and , Convergence, uniqueness and summability of multiple trigonometric series, Trans. Amer. Math. Soc., 163 (1972), 401-436. | MR | Zbl
[Ba], A Treatise on Trigonometric Series, Pergamon Press, Oxford, 1964. | MR | Zbl
[Be], Spectral Synthesis, B.G. Teubner, Stuttgart, 1975. | Zbl
[CS] and , Almost-Everywhere Convergence of Fourier Integrals [...], Revista Matemȥtica Iberoamericana, vol. 4, n°2 (1988), 319-337. | Zbl
[D], Distributions and Fourier Transforms, Academic Press, New York, 1969. | Zbl
[KS] et , Ensembles parfaits et séries trigonométriques, Hermann, Paris, 1963. | MR | Zbl
[KL] & , Descriptive Set Theory and the Structure of Sets of Uniqueness, Cambridge University Press, 1987. | MR | Zbl
[Sh], Fourier series in several variables, Bull. Amer. Math. Soc., 70 (1964), 48-93. | MR | Zbl
[SW] and , Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, 1971. | MR | Zbl
[Sz], Remarques sur les fonctions sousharmoniques, Annals of Math., 1933 (34), 588-594. | JFM | Zbl
[W], A treatise on the theory of Bessel functions, Cambridge University Press, 1922. | JFM
[Z], Trigonometric Series, Cambridge University Press, 1977.
Cité par Sources :
