Geodesic
Diffusion on Lie Groups
Canadian journal of mathematics, Tome 46 (1994) no. 2, pp. 438-448

Voir la notice de l'article provenant de la source Cambridge University Press

The heat kernel of an amenable Lie group satisfies either pt ~ exp(—ct 1/3) or pt ~ t -a as t → ∞. We give a condition on the Lie algebra which characterizes the two cases.
DOI : 10.4153/CJM-1994-023-5
Mots-clés : 22E30, 43A80, 60J60, 60J65 
Varopoulos, N. TH. Diffusion on Lie Groups. Canadian journal of mathematics, Tome 46 (1994) no. 2, pp. 438-448. doi: 10.4153/CJM-1994-023-5
@article{10_4153_CJM_1994_023_5,
     author = {Varopoulos, N. TH.},
     title = {Diffusion on {Lie} {Groups}},
     journal = {Canadian journal of mathematics},
     pages = {438--448},
     year = {1994},
     volume = {46},
     number = {2},
     doi = {10.4153/CJM-1994-023-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1994-023-5/}
}
TY  - JOUR
AU  - Varopoulos, N. TH.
TI  - Diffusion on Lie Groups
JO  - Canadian journal of mathematics
PY  - 1994
SP  - 438
EP  - 448
VL  - 46
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1994-023-5/
DO  - 10.4153/CJM-1994-023-5
ID  - 10_4153_CJM_1994_023_5
ER  - 
%0 Journal Article
%A Varopoulos, N. TH.
%T Diffusion on Lie Groups
%J Canadian journal of mathematics
%D 1994
%P 438-448
%V 46
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1994-023-5/
%R 10.4153/CJM-1994-023-5
%F 10_4153_CJM_1994_023_5

[1] 1. Varopoulos, N. Th., Analysis on Lie groups, 1. Funct. Anal. 76 (1988), 346–410. Google Scholar

[2] 2. Varopoulos, N. Th., Saloff-Coste, L. and Coulhon, T., Analysis and Geometry on groups, Cam. Univ. Press, 1992. Google Scholar

[3] 3. Hormander, L., Hypoelliptic second order operators, Acta Math. 119(1967), 147–171. Google Scholar

[4] 4. Varadarajan, V. S., Lie groups, Lie algebras and their representations, Prentice-Hall. Google Scholar

[5] 5. Reiter, H., Classical harmonic analysis and locally compact groups, Oxford Math. Monograph, 1968. Google Scholar

[6] 6. Varopoulos, N. Th., Potential Theory on non unimodulargroups, Harmonic Analysis and discrete Potential Theory, Plenum (1992), to appear. Google Scholar

[7] 7. Varopoulos, N. Th., Small Time Gaussian Estimates of Heat Diffusion Kernels, II: The Theory of Large Deviations, J. Funct. Analysis 93(1990), 1–33. Google Scholar

[8] 8. Varopoulos, N. Th., A Potential Theoretic Property of Soluble Groups, Bull. Sc. Math, 2e série 108(1983), 263–273. Google Scholar

[9] 9. Alexopoulos, G., Fonctions harmoniques bornées sur les groupes résolubles, C.R. Acad. Sci. Paris 305 (1987), 777–779. Google Scholar

[10] 10. Alexopoulos, G.,A lower estimate for central probability on polycyclic groups, Can. J. Math. 44(1992), 897–910. Google Scholar

[11] 11. Varopoulos, N. Th., Groups of sup erpolynomial growth, Proceedings of the I.C.M. satellite conference on Harmonic Analysis, Springer Verlag, 1991. Google Scholar

Cité par Sources :