Intégrales trigonométriques et pseudofonctions

Francisco Javier González Vieli

Annales de l'institut Fourier (1994)

  • Volume: 44, Issue: 1, page 197-211
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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González Vieli, Francisco Javier. "Intégrales trigonométriques et pseudofonctions." Annales de l'institut Fourier 44.1 (1994): 197-211. <http://eudml.org/doc/75054>.

@article{GonzálezVieli1994,
abstract = {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.},
author = {González Vieli, Francisco Javier},
journal = {Annales de l'institut Fourier},
keywords = {trigonometric integrals; pseudofunctions; integral Laplacian; Riemann's function},
language = {fre},
number = {1},
pages = {197-211},
publisher = {Association des Annales de l'Institut Fourier},
title = {Intégrales trigonométriques et pseudofonctions},
url = {http://eudml.org/doc/75054},
volume = {44},
year = {1994},
}

TY - JOUR
AU - González Vieli, Francisco Javier
TI - Intégrales trigonométriques et pseudofonctions
JO - Annales de l'institut Fourier
PY - 1994
PB - Association des Annales de l'Institut Fourier
VL - 44
IS - 1
SP - 197
EP - 211
AB - 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.
LA - fre
KW - trigonometric integrals; pseudofunctions; integral Laplacian; Riemann's function
UR - http://eudml.org/doc/75054
ER -

References

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  7. [KL]A.S. KECHRIS & A. LOUVEAU, Descriptive Set Theory and the Structure of Sets of Uniqueness, Cambridge University Press, 1987. Zbl0642.42014MR90a:42008
  8. [Sh]V.L. SHAPIRO, Fourier series in several variables, Bull. Amer. Math. Soc., 70 (1964), 48-93. Zbl0267.42011MR28 #1448
  9. [SW]E.M. STEIN and G. WEISS, Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, 1971. Zbl0232.42007MR46 #4102
  10. [Sz]E. SZPILRAJN, Remarques sur les fonctions sousharmoniques, Annals of Math., 1933 (34), 588-594. Zbl0007.15401JFM59.0487.03
  11. [W]G.N. WATSON, A treatise on the theory of Bessel functions, Cambridge University Press, 1922. Zbl48.0412.02JFM50.0264.01
  12. [Z]A. ZYGMUND, Trigonometric Series, Cambridge University Press, 1977. 

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