Invariant analysis and contractions of symmetric spaces. Part I

François Rouvière

Compositio Mathematica (1990)

  • Volume: 73, Issue: 3, page 241-270
  • ISSN: 0010-437X

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Rouvière, François. "Invariant analysis and contractions of symmetric spaces. Part I." Compositio Mathematica 73.3 (1990): 241-270. <http://eudml.org/doc/90005>.

@article{Rouvière1990,
author = {Rouvière, François},
journal = {Compositio Mathematica},
keywords = {Campbell-Hausdorff expansion; invariant distribution; symmetric space; G- invariant linear differential operators},
language = {eng},
number = {3},
pages = {241-270},
publisher = {Kluwer Academic Publishers},
title = {Invariant analysis and contractions of symmetric spaces. Part I},
url = {http://eudml.org/doc/90005},
volume = {73},
year = {1990},
}

TY - JOUR
AU - Rouvière, François
TI - Invariant analysis and contractions of symmetric spaces. Part I
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 73
IS - 3
SP - 241
EP - 270
LA - eng
KW - Campbell-Hausdorff expansion; invariant distribution; symmetric space; G- invariant linear differential operators
UR - http://eudml.org/doc/90005
ER -

References

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  1. 1 J.-L. Clerc, Une formule asymptotique du type Mehler-Heine pour les zonales d'un espace riemannien symétrique, Studia Math. 57 (1976) 27-32. Zbl0335.43010MR425521
  2. 2 A.H. Dooley, Contractions of Lie groups and applications to analysis, Topics in modern harmonic analysis, Roma1983. Zbl0551.22006MR748872
  3. 3 A.H. Dooley and J.W. Rice, On contractions of semi-simple Lie groups, Trans. Amer. Math. Soc.289 (1985) 185-202. Zbl0546.22017MR779059
  4. 4 M. Duflo, Opérateurs différentiels bi-invariants sur un groupe de Lie, Ann. Scient. Ec. Norm. Sup.10 (1977) 265-288. Zbl0353.22009MR444841
  5. 5 M. Flensted-Jensen, Analysis on non-Riemannian symmetric spaces, Reg. Conf. Series in Maths. no. 61, Amer. Math. Soc.1986. Zbl0589.43008MR837420
  6. 6 V. Guillemin and S. Sternberg, Symplectic techniques in Physics, Cambridge University Press, Cambridge1984. Zbl0576.58012MR770935
  7. 7 P. Harinck, Fonctions généralisées sphériques sur GC/GR, Thèse, Université Paris7, 1988. 
  8. 8 Harish-Chandra, Invariant eigendistributions on a semi-simple Lie group, Trans. Amer. Math. Soc.119 (1965) 457-508. Zbl0199.46402MR180631
  9. 9 S. Helgason, Fundamental solutions of invariant differential operators on symmetric spaces, Amer. J. Maths.86 (1964) 565-601. Zbl0178.17001MR165032
  10. 10 S. Helgason, Differential geometry, Lie groups and symmetric spaces, Academic Press, New-York1978. Zbl0451.53038MR514561
  11. 11 S. Helgason, Groups and geometric analysis, Academic Press, Orlando1984. Zbl0543.58001MR754767
  12. 12 M. Kashiwara and M. Vergne, The Campbell-Hausdorff formula and invariant hyperfunctions, Invent. Math.47 (1978) 249-272. Zbl0404.22012MR492078
  13. 13 S. Kobayashi and K. Nomizu, Foundations of differential geometry, vol. II, Interscience Publishers, New-York1969. Zbl0175.48504MR238225
  14. 14 G. Lion, Résolubilité d'opérateurs différentiels invariants sur un nilespace homogène, prépublication, 1986. 
  15. 15 O. Loos, Symmetric spaces, vol. I, Benjamin, New-York1969. Zbl0175.48601
  16. 16 F. Rouviere, Espaces symétriques et méthode de Kashiwara-Vergne, Ann. Scient. Ec. Norm. Sup.19 (1986) 553-581. Zbl0612.43012MR875088
  17. 17 R.C. Thompson, Proof of a conjectured exponential formula, Linear and Multilinear Algebra19 (1986) 187-197. Zbl0596.15025MR846553
  18. 18 R.C. Thompson, Special cases of a matrix exponential formula, preprint, 1987. Zbl0655.15024MR960151

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