Existence of solutions for transversally elliptic left invariant differential operators on nilpotent Lie groups

Linda P. Rothschild

Journées équations aux dérivées partielles (1983)

  • page 1-6
  • ISSN: 0752-0360

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Rothschild, Linda P.. "Existence of solutions for transversally elliptic left invariant differential operators on nilpotent Lie groups." Journées équations aux dérivées partielles (1983): 1-6. <http://eudml.org/doc/93089>.

@article{Rothschild1983,
author = {Rothschild, Linda P.},
journal = {Journées équations aux dérivées partielles},
keywords = {existence, transversally elliptic left invariant differential operators; nilpotent Lie groups},
language = {eng},
pages = {1-6},
publisher = {Ecole polytechnique},
title = {Existence of solutions for transversally elliptic left invariant differential operators on nilpotent Lie groups},
url = {http://eudml.org/doc/93089},
year = {1983},
}

TY - JOUR
AU - Rothschild, Linda P.
TI - Existence of solutions for transversally elliptic left invariant differential operators on nilpotent Lie groups
JO - Journées équations aux dérivées partielles
PY - 1983
PB - Ecole polytechnique
SP - 1
EP - 6
LA - eng
KW - existence, transversally elliptic left invariant differential operators; nilpotent Lie groups
UR - http://eudml.org/doc/93089
ER -

References

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  1. [1] Boutet de Monvel, L., Grigis, A., and Helffer, B., Paramétrixes d'Opérateurs Pseudo-Differentiels à Caracteristiques Multiples, Astérisque 34-35 (1976), pp. 93-121. Zbl0344.32009MR58 #12046
  2. [2] Corwin, L., and Rothschild, L. P., Necessary Conditions for Local Solvability of Homogeneous Left Invariant Differential Operators on Nilpotent Lie Groups, Acta Math. 147 (1981), pp. 265-288. Zbl0486.22006MR83b:22010
  3. [3] Corwin, L., and Rothschild, L. P., Solvability of Transversally Elliptic Differential Operators on Nilpotent Lie Groups, preprint. Zbl0609.35086
  4. [4] Geller, D., preprint. 
  5. [5] Helffer, B. and Nourrigat, J., Caracterisation des Operateurs Hypoélliptiques Homogènes Invariants à Gauche sur une Groupe de Lie Nilpotent Gradué. Comm. P.D.E. 4 (8) (1979) 899-958. Zbl0423.35040MR81i:35034
  6. [6] Grigis, A., and Rothschild, L.P., A Criterion for Analytic Hypoellipticity for a Class of Differential Operators with Polynomial Coefficients, Annals of Math., to appear. Zbl0541.35017
  7. [7] Kato, T., Perturbation Theory for Linear Operators, 2nd ed., Springer-Verlag, Berlin 1976. Zbl0342.47009MR53 #11389
  8. [8] Lévy-Bruhl, P., Résolubilité de Certain Opérateurs Invariants du Second Ordre sur les Groupes de Lie Nilpotents de Rang Deux, Bull. Sci. Math. 104 (1980), pp. 369-391. Zbl0454.22004MR82d:58067
  9. [9] Lévy-Bruhl, P., Résolubilité Locale d'Opérateurs Homogènes Invariants Gauche sur Certains Groupes de Lie Nilpotents de Rang Trois, preprint. Zbl0461.35015
  10. [10] Lévy-Bruhl, P., Application de la Formule de Plancherel à la Résolubilité d'Opérateurs Invariants à Gauche sur des Groupes de Lie Nilpotent d'Ordre Deux, Bull. Sci. Math (2) 106 (1982) pp. 171-191. Zbl0485.35019MR84b:58104
  11. [11] Lévy-Bruhl, P., Résolubilité Locale d'Opérateurs Non Homogènes sur des Groupes de Lie Nilpotents Gradués, preprint. Zbl0461.35015
  12. [12] Lojasiewicz, S., Sur le Problème de Division, Studia Math. 18 (1959), pp. 87-136. Zbl0115.10203MR21 #5893
  13. [13] Melin, A., Parametrix Constructions for some Classes of Right-Invariant Differential Operators on the Heisenberg Group. Comm. P.D.E. (to appear). Zbl0486.35007
  14. [14] Métivier, G., Equations aux Dérivées Partielles sur les Groupes de Lie Nilpotents, Sem. Bourbaki, Exposé #583, 1981. Zbl0497.22011
  15. [15] Rothschild, L.P., Local Solvability of Second Order Differential Operators on Nilpotent Lie Groups, Ark. Math., 19 (1981), pp. 145-175. Zbl0485.35018MR84e:58080
  16. [16] Rothschild, L. P., and Stein, E. M., Hypoelliptic Differential Operators and Nilpotent Lie Groups, Acta Math. 137 (1976), pp. 247-320. Zbl0346.35030MR55 #9171
  17. [17] Rothschild, L. P. and Tartakoff, D., Inversion of Analytic Matrices and Local Solvability of Some Invariant Differential Operators on Nilpotent Lie Groups, Comm. P.D.E. 6 (1981), pp. 625-650. Zbl0477.58032MR84g:22026

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