Analyticity for certain solutions of non-hypoelliptic differential operators on the Heisenberg group

Linda P. Rothschild; David S. Tartakoff

Journées équations aux dérivées partielles (1981)

  • page 1-4
  • ISSN: 0752-0360

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Rothschild, Linda P., and Tartakoff, David S.. "Analyticity for certain solutions of non-hypoelliptic differential operators on the Heisenberg group." Journées équations aux dérivées partielles (1981): 1-4. <http://eudml.org/doc/93063>.

@article{Rothschild1981,
author = {Rothschild, Linda P., Tartakoff, David S.},
journal = {Journées équations aux dérivées partielles},
keywords = {analyticity for solutions of nonhypoelliptic differential operators; homogeneous left invariant differential operators on the Heisenberg group; existence of a left inverse; elliptic in the generating directions},
language = {eng},
pages = {1-4},
publisher = {Ecole polytechnique},
title = {Analyticity for certain solutions of non-hypoelliptic differential operators on the Heisenberg group},
url = {http://eudml.org/doc/93063},
year = {1981},
}

TY - JOUR
AU - Rothschild, Linda P.
AU - Tartakoff, David S.
TI - Analyticity for certain solutions of non-hypoelliptic differential operators on the Heisenberg group
JO - Journées équations aux dérivées partielles
PY - 1981
PB - Ecole polytechnique
SP - 1
EP - 4
LA - eng
KW - analyticity for solutions of nonhypoelliptic differential operators; homogeneous left invariant differential operators on the Heisenberg group; existence of a left inverse; elliptic in the generating directions
UR - http://eudml.org/doc/93063
ER -

References

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  1. [1] R. Beals and P. Greiner, (unpublished). 
  2. [2] G. Folland E. M. Stein, “Estimates for the ∂b -complex and analysis on the Heisenberg group”, Comm. Pure Appl. Math 27 (1974) 429-522. Zbl0293.35012MR51 #3719
  3. [3] D. Geller, “Local solvability and homogeneous distributions on the Heisenberg group”, Comm. P.D.E. 5 (5), (1980) 475-560. Zbl0488.22020MR81i:35004
  4. [4] P. Greiner, J. J. Kohn, and E. M. Stein, “Necessary and sufficient conditions for solvability of the Lewy equation”, Proc. Nat. Acad. Sci. 72, (9) (1975) 3287-3289. Zbl0308.35017MR52 #1043
  5. [5] B. Helffer et J. Nourrigat, “Caractérisation des opérateurs hypoélliptiques homogènes invariants à gauche sur une groups de Lie graduée”, Comm. P.D.E. 4 (8) (1979) 899-958. Zbl0423.35040MR81i:35034
  6. [6] A. Melin, “Parametrix constructions for some classes of right-invariant differential operators on the Heisenberg group” (preprint). Zbl0486.35007
  7. [7] G. Métivier, “Hypoéllipticité analytique sur les groupes nilpotents de rang 2”, Duke Math. J. 47, 1, (1980) 195-221. Zbl0433.35015MR81i:35037
  8. [8] C. Rockland, “Hypoellipticity on the Heisenberg group : representation-theoretic criteria” Trans. Amer. Math. Soc. 240 (1978) 1-52. Zbl0326.22007MR58 #6071
  9. [9] D. Tartakoff, “The analytic hypoellipticity of ∂b and related operators on non-degenerate C-R manifolds”, Acta Math. 145, (3-4), (1980) 177-203. MR81k:35033
  10. [10] F. Trèves, “Analytic hypoellipticity of a class of pseudodifferential operators”, Comm. P.D.E. 3 (1978) 475-642. Zbl0384.35055MR58 #11867

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