Large time estimates for non-symmetric heat kernel on the affine group
Melzi, Camillo
Annales mathématiques Blaise Pascal, Tome 9 (2002), p. 63-78 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 2002-01-01
@article{AMBP_2002__9_1_63_0,
     author = {Melzi, Camillo},
     title = {Large time estimates for non-symmetric heat kernel on the affine group},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {9},
     year = {2002},
     pages = {63-78},
     mrnumber = {1914261},
     zbl = {01805821},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AMBP_2002__9_1_63_0}
}

Melzi, Camillo. Large time estimates for non-symmetric heat kernel on the affine group. Annales mathématiques Blaise Pascal, Tome 9 (2002) pp. 63-78. http://gdmltest.u-ga.fr/item/AMBP_2002__9_1_63_0/

[1] G. Alexopoulos. Sublaplacians on groups of polynomial growth. Mem. Amer. Math. Soc., to appear. | MR 1878341

[2] R. Azencott. Géodésiques et diffusions en temps petit. Astérisque, 84-85:17-31, 1981. | MR 634964 | Zbl 0507.60070

[3] Ph. Bougerol. Comportement asymptotique des puissances de convolution d'une probabilité sur un espace symétrique. Astérisque, 74:29-45, 1980. | MR 588156 | Zbl 0463.60009

[4] E.B. Davies and N. Mandouvalos. Heat bounds on hyperbolic space and Kleinian groups. Proc. London Math. Soc. (3), 52:182-208, 1988. | MR 940434 | Zbl 0643.30035

[5] A. Grigor'Yan. Gaussian upper bounds for the heat kernel on arbitrary manifolds. J. Differential Geometry, 45:33-52, 1997. | MR 1443330 | Zbl 0865.58042

[6] A. Grigor'Yan. Estimates of heat kernels on Riemannian manifolds. In B. Davies and Yu. Safarov, editors, Spectral Theory and Gemetry. Edinburgh 1998, pages 140-225. London Math. Soc. Lectures Nte Series 273, Cambridge Univ. Press, 1998. | MR 1736868 | Zbl 0985.58007

[7] G.A. Hunt. Semi-groups of measures on Lie groups. A.M.S., 81:264-293, 1956. | MR 79232 | Zbl 0073.12402

[8] S. Mustapha. Gaussian estimates for heat kernels on Lie groups. Math. Proc. Camb. Phil. Soc., 128:45-64, 2000. | MR 1724427 | Zbl 0947.22007

[9] A. Nagel, E. Stein, and M. Wainger. Balls and metrics defined by vector fields. Acta Math., 155:103-147, 1985. | MR 793239 | Zbl 0578.32044

[10] V.I. Ushakov. Stabilization of solutions of the third mixed problem for a second order parabolic equation in a non-cyclic domain (Engl. trans.). Math. USSR Sb., 39:87-105, 1981. | MR 560465 | Zbl 0462.35048

[11] N. Varopoulos. Small time gaussian estimates of heat diffusion kernels. Part I: The semi-group technique. Bull. Sc. Math., 113:253-277, 1989. | MR 1016211 | Zbl 0703.58052

[12] N. Varopoulos. Small time gaussian estimates of heat diffusion kernels. Part II: The theory of large deviations. J. Funct. Anal., 93:1-33, 1990. | MR 1070036 | Zbl 0712.58056

[13] N. Varopoulos. Analysis on Lie groups. Rev. Mat. Iberoamericana, 12:791-917, 1996. | MR 1435484 | Zbl 0881.22009

[14] N. Varopoulos and S. Mustapha. Forthcoming book. Cambridge University Press.

[15] N. Varopoulos, L. Saloff-Coste, and Th. Coulhon. Analysis and geometry on groups. Cambridge Univ. Press, Cambridge, 1992. | MR 1218884 | Zbl pre05521653