On construit par voie géométrique une classe de symboles classiques en dehors d’une sous-variété. La classe d’opérateurs pseudodifférentiels associée contient les paramétrix d’opérateurs tels que ou
We construct, in a geometric way, a class of symbols which are classical except along some submanifold. The parametrics of and , for instance, belong to the associated class of pseudodifferential operators.
@article{AIF_1980__30_3_199_0, author = {Hirschowitz, Andr\'e}, title = {Une classe de symboles new-look}, journal = {Annales de l'Institut Fourier}, volume = {30}, year = {1980}, pages = {199-217}, doi = {10.5802/aif.798}, mrnumber = {81m:58076}, zbl = {0421.35081}, language = {fr}, url = {http://dml.mathdoc.fr/item/AIF_1980__30_3_199_0} }
Hirschowitz, André. Une classe de symboles new-look. Annales de l'Institut Fourier, Tome 30 (1980) pp. 199-217. doi : 10.5802/aif.798. http://gdmltest.u-ga.fr/item/AIF_1980__30_3_199_0/
[1] Hypoelliptic operators with double characteristics and related pseudodifferential operators, Comm. Pure and Appl. Math., XXVII (1974), 585-639. | MR 51 #6498 | Zbl 0294.35020
,[2] Fourier Integral Operators, Courant Institute of Math. Sciences, New York University, 1973. | MR 56 #9600 | Zbl 0272.47028
,[3] Oscillatory Integrals, Lagrange Immersions and Unfolding of Singularities, Comm. Pure and Appl. Math., XXVII (1974), 207-281. | MR 53 #9306 | Zbl 0285.35010
,[4] Fourier Integral Operators II, Acta Math., 128 (1972), 183-265. | MR 52 #9300 | Zbl 0232.47055
, ,[5] Singular Symbols, Preprint, 1975.
,[6] Invariants associés à une classe d'opd et applications à l'hypoellipticité, Ann. Inst. Fourier, XXVI Fasc. 2 (1976), 55-70. | Numdam | MR 54 #1318 | Zbl 0301.35026
,[7] Hypoelliptic differential operators, Ann. Inst. Fourier, XI (1961), 477-492. | Numdam | MR 23 #A3368 | Zbl 0099.30101
,[8] Fourier Integral Operators I, Acta Math., 127 (1971), 79-183. | MR 52 #9299 | Zbl 0212.46601
,