Voir la notice de l'article provenant de la source Cambridge University Press
Varopoulos, N. TH. Diffusion on Lie Groups II. Canadian journal of mathematics, Tome 46 (1994) no. 5, pp. 1073-1092. doi: 10.4153/CJM-1994-061-6
@article{10_4153_CJM_1994_061_6,
author = {Varopoulos, N. TH.},
title = {Diffusion on {Lie} {Groups} {II}},
journal = {Canadian journal of mathematics},
pages = {1073--1092},
year = {1994},
volume = {46},
number = {5},
doi = {10.4153/CJM-1994-061-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1994-061-6/}
}
[1] 1. Varopoulos, N. Th., Analysis on Lie groups, J. Funct. Anal. (2) 76(1988), 346–410. Google Scholar
[2] 2. Varopoulos, N. Th., Saloff-Coste, L. and Coulhon, T., Analysis and geometry on groups, Cambridge Univ. Press, 1992. Google Scholar
[3] 3. Hörmander, 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, 1984. Google Scholar
[5] 5. Jacobson, N., Lie algebras, Interscience, 1962. Google Scholar
[6] 6. Chevalley, C., Théorie de groupes de Lie, tome HI, Hermann, 1955. Google Scholar
[7] 7. Reiter, H., Classical harmonie analysis and locally compact groups, Oxford, Math. Monograph, 1968. Google Scholar
[8] 8. Varopoulos, N. Th., Diffusion on Lie groups, Canad. J. Math. (2) 46(1994), 438–448. 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 group, Canad. J. Math. (5) 44(1992), 897–910. Google Scholar
[11] 11. Hebisch, W., On heat kernels on Lie groups, preprint. Google Scholar
[12] 12. Guivarc'h, Y., Croissance polynômiale et périodes des fonctions harmoniques, Bull. Soc. Math. France 101(1973), 333–379. Google Scholar
[13] 13. Alexopoulos, G., An application of homogenization theory to harmonie analysis: Harnack inequalities and Riesz transforms on Lie groups of polynomial growth, Canad. J. Math. (4) 44(1992), 691–727. Google Scholar
[14] 14. Ibragimov, I. A. and Linnik, Yu. V., Independent and stationary sequences of random variables, Wolters-Noordhoff, 1971. Google Scholar
[15] 15. Varopoulos, N. Th., A potential theoretic property of soluble groups, Bull. Sci. Math. (2) 108(1983), 263–273. Google Scholar
[16] 16. Stein, E. M. and Weiss, G., Introduction to Fourier analysis on Euclidean spaces, Princeton Univ. Press, 1971. Google Scholar
[17] 17. Szegö, G., Orthogonal polynomials, Amer. Math. Soc. Colloq. Publ. XXIII, 1939. Google Scholar
[18] 18. Hörmander, L., Estimates for translation invariant operators in LP spaces, Acta Math. 104(1960), 93–139. Google Scholar
[19] 19. Varopoulos, N. Th., Sobolev inequalities on Lie groups and symmetric spaces, J. Funct. Anal. 86(1989), 19–40. Google Scholar
[20] 20. Varopoulos, N. Th., Théorie de Hardy-Littlewood sur les groupes de Lie, C. R. Acad. Sci. Paris Ser. I 316(1993), 999–1003. Google Scholar
Cité par Sources :