Sharp pointwise estimates on heat kernels

Quarterly Journal of Mathematics

Volumn 47, Issue 187, 1996, Pages 371-382

  Sikora, Adam ^a,b  

^a UNIVERSITY OF WROC AW   (Poland)

^b AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030304673     PISSN: 00335606     EISSN: None     Source Type: Journal    
DOI: 10.1093/qjmath/47.187.371     Document Type: Article

References (11)

1. Th. Coulhon, 'Itération de Moser et estimation Gaussienne du noyau de la chaleur', to appear in J. Oper. Theory.
2. E. B. Davies, Heat kernels and spectral theory, Cambridge University Press (1989).
3. E. B. Davies and M. M. H. Pang, 'Sharp Heat kernel bounds for some Laplace operators', Quart. J. Math. Oxford (2) 40 (1989), pp. 281-290.
4. W. Hebish, 'On Heat Kernels on Lie Groups', Math. Z. 210 (1992), pp. 593-605.
5. L. Hörmander, The Analysis of Linear Partial Differential Operators 1, Springer (1983).
6. R. Melrose, Propagation for the wave group of a positive subelliptic second order differential operator in Hyperbolic Equations and related topics, Academic Press, Boston, Mass. (1989).
7. S. A. Molchanov, Diffusion processes and Riemannian geometry, Russian Math. Surveys 30:1 (1975), pp. 1-60.
8. A. Sikora, Wave equation on Lie groups, preprint.
9. R. S. Strichartz, 'Sub-Riemannian Geometry', J. Differential Geometry 24 (1986), pp. 221-263.
10. M. Taylor, Pseudodifferential operators, Princeton University Press, Princeton (1981).
11. N. Th. Varopoulos, 'Analysis on Lie Groups', J. Funct. Anal. 76 (1988), pp. 346-410.