Simple facts about analytic vectors and integrability

M. Flato; J. Simon; H. Snellman; D. Sternheimer

Annales scientifiques de l'École Normale Supérieure (1972)

  • Volume: 5, Issue: 3, page 423-434
  • ISSN: 0012-9593

How to cite

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Flato, M., et al. "Simple facts about analytic vectors and integrability." Annales scientifiques de l'École Normale Supérieure 5.3 (1972): 423-434. <http://eudml.org/doc/81902>.

@article{Flato1972,
author = {Flato, M., Simon, J., Snellman, H., Sternheimer, D.},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {eng},
number = {3},
pages = {423-434},
publisher = {Elsevier},
title = {Simple facts about analytic vectors and integrability},
url = {http://eudml.org/doc/81902},
volume = {5},
year = {1972},
}

TY - JOUR
AU - Flato, M.
AU - Simon, J.
AU - Snellman, H.
AU - Sternheimer, D.
TI - Simple facts about analytic vectors and integrability
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1972
PB - Elsevier
VL - 5
IS - 3
SP - 423
EP - 434
LA - eng
UR - http://eudml.org/doc/81902
ER -

References

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  1. [1] E. BRUHAT, Sur les représentations induites des groupes de Lie (Bull. Soc. math. Fr., t. 84, 1956, p. 97-205). Zbl0074.10303MR18,907i
  2. [2] P. CARTIER et J. DIXMIER, Vecteurs analytiques dans les représentations des groupes de Lie (Amer. J. Math., vol. 80, 1958, p. 131-145). Zbl0081.11204MR20 #924
  3. [3] L. GÅRDING, Note on continuous representations of Lie groups (Proc. Nat. Acad. Sc. U.S.A., vol. 33, 1947, p. 331-332). Zbl0031.05703MR9,133b
  4. [4] L. GÅRDING, Vecteurs analytiques (Bull. Soc. math. Fr., t. 88, 1960, p. 73-93). Zbl0095.10402MR22 #9870
  5. [5] R. GOODMAN, Analytic and entire vectors for representations of Lie groups (Trans. Amer. Math. Soc., vol. 143, 1969, p. 55-76.) Zbl0189.14102MR40 #1537
  6. [6] HARISH-CHANDRA, Representations of semi-simple Lie groups on a Banach space I (Trans. Amer. Math. Soc., vol. 75, 1953, p. 185-243). Zbl0051.34002MR15,100f
  7. [7] S. HELGASON, Differential geometry and symmetric spaces, Academic Press, London, 1962. Zbl0111.18101MR26 #2986
  8. [8] E. HILLE and R. S. PHILLIPS, Functional Analysis and Semi-Groups (A.M.S. colloquium publications, Providence, 1957). Zbl0078.10004MR19,664d
  9. [9] T. KATO, Perturbation theory for linear operators, Springer, Berlin, 1966. Zbl0148.12601MR34 #3324
  10. [10] R. T. MOORE, Exponentiation of operator Lie algebras on Banach spaces (Bull. Amer. Math. Soc., vol. 71, 1965, p. 903-908). Zbl0166.40004MR32 #5788
  11. [11] E. NELSON, Analytic Vectors (Annals of Math., vol. 81, 1959, p. 547-560). MR22 #907
  12. [12] J. TITS and L. WAELBROECK, The integration of a Lie algebra representation (Pacific J. Math., vol. 26, 1968, p. 595-600). Zbl0172.18602MR38 #5995

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