Solvability of second-order left-invariant differential operators on the Heisenberg group
Journées équations aux dérivées partielles (2000)
- page 1-10
- ISSN: 0752-0360
Access Full Article
topAbstract
topHow to cite
topRicci, Fulvio. "Solvability of second-order left-invariant differential operators on the Heisenberg group." Journées équations aux dérivées partielles (2000): 1-10. <http://eudml.org/doc/93392>.
@article{Ricci2000,
abstract = {},
author = {Ricci, Fulvio},
journal = {Journées équations aux dérivées partielles},
keywords = {second-order left-invariant differential operators; solvability of operators; Heisenberg group},
language = {eng},
pages = {1-10},
publisher = {Université de Nantes},
title = {Solvability of second-order left-invariant differential operators on the Heisenberg group},
url = {http://eudml.org/doc/93392},
year = {2000},
}
TY - JOUR
AU - Ricci, Fulvio
TI - Solvability of second-order left-invariant differential operators on the Heisenberg group
JO - Journées équations aux dérivées partielles
PY - 2000
PB - Université de Nantes
SP - 1
EP - 10
AB -
LA - eng
KW - second-order left-invariant differential operators; solvability of operators; Heisenberg group
UR - http://eudml.org/doc/93392
ER -
References
top- [BG] R. Beals and P.C. Greiner, Calculus on heisenberg manifolds, Annals of Math. Studies, Princeton Univ. Press, 1988. Zbl0654.58033MR89m:35223
- [DPR] F. De Mari, M.M. Peloso, and F. Ricci, Analysis of second order differential operators with complex coefficients on the heisenberg group, J. Reine Angew. Math. 464 (1995), 67-96. Zbl0826.43004MR96f:22011
- [Fo] G. Folland, Harmonic analysis in phase space, Annals of Math. Studies, Princeton Univ. Press, 1989. Zbl0682.43001MR92k:22017
- [FS] G. Folland and 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
- [G] A. Grigis, Hypoellipticité pour une classe d'opérateurs pseudodifférentiels à caractéristiques doubles et paramétrix associées, C.R. acad. Sci. Paris A280 (1975), 1063-1065. Zbl0298.35014MR53 #4149
- [Hw] R. Howe, The oscillator semigroup, Proc. Symp. Pure Appl. Math. 48 (1988), 61-132. Zbl0687.47034MR90f:22014
- [Hö1] L. Hörmander, A class of hypoelliptic pseudodifferential operators with double characteristics, Math. Ann. 217 (1975), 165-188. Zbl0306.35032MR51 #13774
- [Hö2] L. Hörmander, Symplectic classification of quadratic forms, and general mehler formulas, Math. Zeitschr. 219 (1995), 413-449. Zbl0829.35150MR96c:58172
- [KM] G. Karadzhov and D. Müller, Local solvability for a class of second order complex coefficient differential operators on the heisenberg group h2, preprint Mathematisches Seminar, Kiel (1999).
- [MPR1] D. Müller, M.M. Peloso, and F. Ricci, On the solvability of homogeneous left-invariant differential operators on the heisenberg group, J. Funct. Anal. 148 (1997), 368-383. Zbl0887.43004MR98k:35024
- [MPR2] D. Müller, M.M. Peloso, and F. Ricci, On local solvability for complex coefficient differential operators on the heisenberg group, J. Reine Angew. Math. 513 (1999), 181-234. Zbl0937.43003MR2000h:35003
- [MR1] D. Müller and F. Ricci, Analysis of second order differential operators on the heisenberg group. i, Invent. Math. 101 (1990), 545-582. Zbl0742.43006MR92d:22011
- [MR2] D. Müller and F. Ricci, Analysis of second order differential operators on the heisenberg group. ii, J. Funct. Anal. 108 (1992), 296-346. Zbl0790.43011MR93j:22019
- [MT] D. Müller and C. Thiele, Normal forms for involutive complex hamiltonian matrices under the real symplectic group, J. Reine Angew. Math. 513 (1999), 97-114. Zbl0932.15006MR2000h:15017
- [MZ] D. Müller and Z. Zhang, Local solvability for positive combinations of generalized sub-laplacians on the heisenberg group, preprint Mathematisches Seminar, Kiel (1999). Zbl0974.22006
- [P] R. Penney, Non-elliptic laplace equations on nilpotent lie groups, Ann. Math. 119 (1984), 309-385. Zbl0552.22004MR86e:22012
- [Sj] Sjöstrand, Parametrices for pseudodifferential operators with multiple characteristics, Ark. för Math. 12 (1974), 85-130. Zbl0317.35076MR50 #5236
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.