Diffusion on Lie groups (III)

Canadian Journal of Mathematics

Volumn 48, Issue 3, 1996, Pages 641-672

  Varopoulos, N Th ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030503137     PISSN: 0008414X     EISSN: None     Source Type: Journal    
DOI: 10.4153/CJM-1996-034-x     Document Type: Article

References (22)

1. G. Alexopoulos, A lower estimate for central probability of polycyclic groups, Canad. J. Math. 44(1992). 897-910.
2. A. Ancona, Principe de Harnack à la frontière et théorèms de Fatou pour un opérateur elliptique dans un domaine Lipschitzien, Ann. Inst. Fourier (4) 28(1978), 162-213.
3. N. Bourbaki, Eléments de mathématiques, Livre VI, Intégration, Herman, 1963.
4. I. Chavel, Eigenvalues in Riemannian Geometry, Academic Press, 1984.
5. E. B. Davies, Gaussian Upper bounds for Heat Kernels of some second order operators on Riemannian Manifolds. J. Functional Anal. 80(1988) 16-32.
6. E. Fabes, N. Garofalo and S. Salsa, A backwards Harnack inequality and Fatou theorem for non negative solutions of parabolic equations. Illinois J. Math. 30(1986), 536-565.
7. Y. Guivarch, Croissance polynomiale et périodes des fonctions harmoniques. Bull. Soc. Math. France 101(1973), 333-379.
8. S. Helgason, Groups and Geometric Analysis, Academic Press, 1984.
9. Y. Heurteaux, Solutions positives et mesures harmoniques pour des opérateurs paraboliques dans des domaines "Lipschitziens", Ann. Inst. Fourier (3) 41(1991).
10. L. Hörmander, Hypoelliptic second order equations, Acta Math. 119(1967), 147-171.
11. K. Itô and H. P. McKean, Jr., Diffusion Processes and their sample Paths, Springer-Verlag, 1974.
12. N. Jacobson, Basic Algebra, Vol. I and II, W. H. Freeman and Co., New York, 1989
13. C.-E. Kenig, Harmonic Analysis Techniques for Second order Elliptic Boundary Value Problems, Amer. Math. Soc. CBMS 83.
14. R. Pemantle and Y. Peres, Critical random Walks in Random Environment on trees, preprint.
15. V. S. Varadarajan, Lie groups Lie algebras and their representations, Prentice-Hall, 1984.
16. N. Th. Varopoulos, Analysis on Lie groups. Rev. Mat. Iberoamericana, to appear.
17. _, Diffusion on Lie groups, Canad. J. Math. (2) 46(1994), 438-448.
18. _, Diffusion on Lie groups (II), Canad. J. Math. (5) 46(1994), 1073-1093.
19. _, Wiener-Hopf Theory and Non Unimodular Groups, J. Funct. Anal. (2) 120(1994), 467-483.
20. N. Th. Varopoulos and S. Mustapha, Mimeographed Lecture Notes, Univ. Paris VI, 1994-1995.
21. N. Th. Varopoulos, L. Saloff-Coste and T. Coulhon, Analysis and Geometry on Groups, Cambridge Univ. Press, 1992.
22. J. G. Warner, Harmonic analysis on semisimple Lie groups (I), Springer Verlag.