Singularités des fonctions de Green hypoelliptiques
Ben Arous, Gérard ; Gradinaru, Mihai
Annales mathématiques Blaise Pascal, Tome S3 (1996), p. 23-32 / Harvested from Numdam
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@article{AMBP_1996__3_1_23_0,
     author = {Ben Arous, G\'erard and Gradinaru, Mihai},
     title = {Singularit\'es des fonctions de Green hypoelliptiques},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {S3},
     year = {1996},
     pages = {23-32},
     mrnumber = {1397321},
     zbl = {0868.58083},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/AMBP_1996__3_1_23_0}
}

Ben Arous, Gérard; Gradinaru, Mihai. Singularités des fonctions de Green hypoelliptiques. Annales mathématiques Blaise Pascal, Tome S3 (1996) pp. 23-32. http://gdmltest.u-ga.fr/item/AMBP_1996__3_1_23_0/

[A]R. Azencott, : Formule de Taylor stochastique et développements asymptotiques d'intégrales de Feynmann, Dans: Azéma, J., Yor, M. Seminaire de Probabilités XVI. Supplément: Géométrie différentielle stochastique (Lect. Notes Math. vol. 921, pp. 237-284), Berlin Heidelberg , New York: Springer 1982 | Numdam | MR 658728 | Zbl 0484.60064

[BA1]Ben Arous, G.: Flots et séries de Taylor stochastiques, Probab. Th. Rel. Fields 81, pp. 29-77 (1989) | MR 981567 | Zbl 0639.60062

[BA2]Ben Arous, G.: Développement asymptotique du noyau de la chaleur hypoelliptique sur la diagonale, Ann. Inst. Fourier 39, pp. 73-99 (1989) | Numdam | MR 1011978 | Zbl 0659.35024

[BA-G]Ben Arous, G., Gradinaru, M.: Singularities of hypoelliptic Green functions, Preprint LMENS-95-19, soumis au "Potential Analysis", 1995 | MR 1625572 | Zbl 0909.60058

[BA-Le]Ben Arous, G., Léandre, R.: Décroissance exponentielle du noyau de la chaleur sur la diagonale I,II, Probab. Th. Rel. Fields 90, pp. 175-202377-402, (1991) | MR 1128069 | Zbl 0734.60026

[B-Gav-Gr]Beals, R., Gaveau, B., Greiner, P.C.: Solution fondamentale pour des varietés de Cauchy-Riemann, Exposés au Seminaire d'Analyse, Institut "Henri Poincaré", 1993

[Ca] Castell, F.: Asymptotic expansion of stochastic flows, Probab. Th. Rel. Fields 96, pp. 225-239 (1993) | MR 1227033 | Zbl 0794.60054

[CM-LG]Chaleyat-Maurel, M., Le Gall, J.-F.: Green function, capacity and sample paths properties for a class of hypoelliptic diffusions processes, Probab. Th. Rel. Fields 83, pp. 219-264 (1989) | MR 1012500 | Zbl 0686.60058

[Fo] Folland, G.B.: A fundamental solution for a subelliptic operator, Bull. Amer. Math. Soc. 79, pp. 373-376 (1973) | MR 315267 | Zbl 0256.35020

[Fo-S] Folland, G.B., Stein, E.M.: Estimates for the ∂b-complex and analysis on the Heisenberg group, Comm. Pure Appl. Math. 27, pp. 429-522 (1974) | MR 367477 | Zbl 0293.35012

[Fe-Sa] Fefferman, C.L., Sánchez-Calle, A.: Fundamental solutions for second order subelliptic operators, Ann. Math. 124, pp. 247-272 (1986) | MR 855295 | Zbl 0613.35002

[G]M. Gradinaru, : Fonctions de Green et support de diffusions hypoelliptiques, Thèse, Université de Paris-Sud, Orsay, 1995

[Gav] Gaveau, B.: Principe de moindre action, propagation de la chaleur et estimées sous-elliptiques sur certains groupes nilpotents, Acta Math. 139, pp. 96-153 (1977) | MR 461589 | Zbl 0366.22010

[Gr1] Greiner, P.C.: A fundamental solution for a nonelliptic partial differential operator, Canad. Jour. Math. 31, pp. 1107-1120 (1979) | MR 546962 | Zbl 0475.35003

[Gr2] Greiner, P.C.: On second order hypoelliptic differential operators and the ∂-Neumann problem, In: Diedrich, K Complex analysis, Proceedings of Workshop at Wuppertal 1990, pp. 134-142, Braunschweig : Vieweg 1991 | MR 1122172 | Zbl 0747.58045

[Gr-S] Greiner, P.C., Stein, E.M.: On the solvability of some differential operators of type □b, Dans: Several complex variables, Proceedings of the conference at Cortona 1976-1977, pp. 106-165, Pisa: Scuola Normale Superiore 1978 | MR 681306 | Zbl 0434.35007

[H]L. Hörmander, : Hypoelliptic second order differential equations, Acta Math. 119, pp. 147-171 (1967) | MR 222474 | Zbl 0156.10701

[J-Sa] Jerison, D., Sánchez-Calle, A.: Subelliptic second order differential operators, Dans: Berenstein, C.A (ed.)Complex analysis III, Proceedings of the Special Year at University of Maryland 1985-1986, (Lect. Notes Math. vol. 1277 pp. 46-77), , Berlin Heidelberg 1987 SpringerNew York | MR 922334 | Zbl 0634.35017

[Le] Léandre, R.: Développement asymptotique de la densité d'une diffusion dégénérée, Forum Math. 4, pp. 45-75 (1992) | MR 1142473 | Zbl 0749.60054

[N-S-W] Nagel, A., Stein, E.M., Wainger, S.: Balls and metrics defined by vector fields I Basic properties. Acta Math. 155, pp. 103-147 (1985) | MR 793239 | Zbl 0578.32044

[Sa] Sánchez-Calle, A.: Fundamental solutions and geometry of the sum of square of vector fields, Invent. math. 78, pp. 143-160 (1984) | MR 762360 | Zbl 0582.58004

[Sz] Sznitman, A.S.: Some bounds and limiting results for the measure of the Wiener sausage of small radius associated with elliptic diffusions, Stoch. Proc. Appl. 25, pp. 1-25 (1987). | MR 904262 | Zbl 0628.60080