Invariant analysis and contractions of symmetric spaces : part II

François Rouvière

Compositio Mathematica (1991)

  • Volume: 80, Issue: 2, page 111-136
  • ISSN: 0010-437X

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Rouvière, François. "Invariant analysis and contractions of symmetric spaces : part II." Compositio Mathematica 80.2 (1991): 111-136. <http://eudml.org/doc/90117>.

@article{Rouvière1991,
author = {Rouvière, François},
journal = {Compositio Mathematica},
keywords = {symmetric space; tangent space; -invariant functions; invariant distributions; invariant differential operators; spherical functions; Bessel functions},
language = {eng},
number = {2},
pages = {111-136},
publisher = {Kluwer Academic Publishers},
title = {Invariant analysis and contractions of symmetric spaces : part II},
url = {http://eudml.org/doc/90117},
volume = {80},
year = {1991},
}

TY - JOUR
AU - Rouvière, François
TI - Invariant analysis and contractions of symmetric spaces : part II
JO - Compositio Mathematica
PY - 1991
PB - Kluwer Academic Publishers
VL - 80
IS - 2
SP - 111
EP - 136
LA - eng
KW - symmetric space; tangent space; -invariant functions; invariant distributions; invariant differential operators; spherical functions; Bessel functions
UR - http://eudml.org/doc/90117
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 J. Dixmier, Algèbres enveloppantes, Gauthier-Villars, Paris1974. Zbl0308.17007MR498737
  3. 3 M. Duflo, Opérateurs différentiels bi-invariants sur un groupe de Lie, Ann. Scient. Ec. Norm. Sup.10 (1977), 265-288. Zbl0353.22009MR444841
  4. 4 M. Duflo, Opérateurs différentiels invariants sur un espace symétrique, C. R. Acad. Sc. Paris289 (1979), 135-137. Zbl0419.43012MR549087
  5. 5 M. Duflo, Open problems in representation theory of Lie groups, in Analysis on homogeneous spaces (ed. T. Oshima), Katata1986. 
  6. 6 J.J. Duistermaat, On the similarity between the Iwasawa projection and the diagonal part, Mémoire no. 15Soc. Math. France (1984), 129-138. Zbl0564.22007MR789082
  7. 7 S. Helgason, Differential operators on homogeneous spaces, Acta Math.102 (1959), 239-299. Zbl0146.43601
  8. 8 S. Helgason, Groups and geometric analysis, Academic Press, Orlando1984. Zbl0543.58001MR754767
  9. 9 F. Rouviere, Espaces symétriques et méthode de Kashiwara-Vergne, Ann. Scient. Ec. Norm. Sup.19 (1986), 553-581. Zbl0612.43012MR875088
  10. (I) F. Rouviere, Invariant analysis and contractions of symmetric spaces, Part I, Compositio Math.73 (1990), 241-270. Zbl0697.53049MR1044430
  11. 10 R.J. Stanton and P.A. Tomas, Expansions for spherical functions on noncompact symmetric spaces, Acta Math.140 (1978), 251-276. Zbl0411.43014MR511124

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