Nombre de points entiers dans une famille homothétique de domaines de R

Y. Colin de Verdière

Annales scientifiques de l'École Normale Supérieure (1977)

  • Volume: 10, Issue: 4, page 559-575
  • ISSN: 0012-9593

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Colin de Verdière, Y.. "Nombre de points entiers dans une famille homothétique de domaines de ${R}$." Annales scientifiques de l'École Normale Supérieure 10.4 (1977): 559-575. <http://eudml.org/doc/82006>.

@article{ColindeVerdière1977,
author = {Colin de Verdière, Y.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Oscillating Integrals; Unfolding of Singularities; Lattice Points in a Homothetic Family of Domains},
language = {fre},
number = {4},
pages = {559-575},
publisher = {Elsevier},
title = {Nombre de points entiers dans une famille homothétique de domaines de $\{R\}$},
url = {http://eudml.org/doc/82006},
volume = {10},
year = {1977},
}

TY - JOUR
AU - Colin de Verdière, Y.
TI - Nombre de points entiers dans une famille homothétique de domaines de ${R}$
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1977
PB - Elsevier
VL - 10
IS - 4
SP - 559
EP - 575
LA - fre
KW - Oscillating Integrals; Unfolding of Singularities; Lattice Points in a Homothetic Family of Domains
UR - http://eudml.org/doc/82006
ER -

References

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  1. [A 1] V. I. ARNOLD, Integrals of Rapidly Oscillating Functions and Singularities of the Projections of Lagrange Manifolds (Funct. Anal. and Appl., vol. 6, 1972, p. 61-62). Zbl0278.57010MR50 #8594
  2. [A 2] V. I. ARNOLD, Normal Forms of Functions with Simple Critical Points, the Weyl Groups Ak, Dk, Ek and Lagrange manifolds (Funct. Anal. and Appl., vol. 6, 1972, p. 3-25). MR50 #8595
  3. [A 3] V. I. ARNOLD, Remarks on the Stationary Phase and Coxeter Numbers (Russ. Math. Surveys, vol. 28, 1973, p. 19-48). Zbl0291.40005MR53 #1635
  4. [CV 1] Y. COLIN DE VERDIÈRE, Quasi-modes sur les variétés riemanniennes (Inventiones Math. Vol. 43, 1977, p. 15-52). Zbl0449.53040MR58 #18615
  5. [CV 2] Y. COLIN DE VERDIÈRE, Sur le spectre des surfaces dont le flot géodésique est complètement intégrable ou presque (en préparation). 
  6. [D] J. J. DUISTERMAAT, Oscillatory Integrals, Lagrange Immersions and Unfolding of Singularities (Comm. Pure and Appl. Math., vol. 27, 1974, p. 207-281). Zbl0285.35010MR53 #9306
  7. [H 1] L. HÖRMANDER, The Spectral Function of an Elliptic Operator (Acta. Math., vol. 121, 1968, p. 193-218). Zbl0164.13201MR58 #29418
  8. [H 2] L. HÖRMANDER, Fourier Integral Operators, I (Acta Math., vol. 127, 1971, p. 79-183). Zbl0212.46601MR52 #9299
  9. [L] E. LANDAU, Vorlesungen über Zahlentheorie, Chelsea, New York, 1969. 
  10. [M] B. MALGRANGE, Intégrales asymptotiques et monodromie (Ann. scient. Éc. Norm. Sup. 4e série, t. 7, 1974, p. 405-430). Zbl0305.32008MR51 #8459
  11. [R 1] B. RANDOL, A Lattice Point Problem, I. (Trans. A.M.S., vol. 121, 1966, p. 257-268). Zbl0135.10601MR34 #1291
  12. [R 2] B. RANDOL, A Lattice Point Problem, II (Trans. A.M.S., vol. 125, 1966, p. 101-113). Zbl0161.04902MR34 #1292
  13. [R 3] B. RANDOL, On the Fourier Transform of the Indicator Function of a Planar Set (Trans. A.M.S., vol. 139, 1969, p. 271-278). Zbl0183.26904MR40 #4678a
  14. [R 4] B. RANDOL, On the Asymptotic Behaviour of the Fourier Transform of the Indicator Function of a Convex Set (Trans. A.M.S., vol. 139, p. 279-285). Zbl0183.26905MR40 #4678b
  15. [S] K. SAITO, Quasi-homogene isolierte Singularitaten von Hyperflëchen (Inv. Math., vol. 14, 1971 p. 123-142). Zbl0224.32011MR45 #3767
  16. [W] M. TARNOPOLSKA-WEISS, On the Number of Lattice Points in Planar Domains (à paraître). Zbl0392.52011

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