Estimates for the heat kernel on SL(n,R) / SO(n)

Canadian Journal of Mathematics

Volumn 49, Issue 2, 1997, Pages 359-372

  Sawyer, P ^a  

^a LAURENTIAN UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010129946     PISSN: 0008414X     EISSN: None     Source Type: Journal    
DOI: 10.4153/CJM-1997-018-1     Document Type: Article

References (9)

1. Jean-Philippe Anker, Le noyau de la chaleur sur les espaces symétriques U(p,q) / U(p) x U(q), Lecture Notes in Math. 1359, Springer Verlag, New York, 1988, 60-82.
2. Jean-Philippe Anker, Sharp estimates for some functions of the Laplacian on noncompact symmetric spaces, Duke Math. J. (2) 65(1992), 257-297.
3. Maurice Chayet, Some general estimates for the heat kernel on a symmetric space and related problems of integral geometry, Thesis, McGill University, 1990, 1-76.
4. E. B. Davies, Heat kernels and spectral theory, Cambridge Univ. Press, 1989.
5. R. Gangolli, Asymptotic behaviour of spectra of compact quotients of certain symmetric spaces, Acta Math. 121(1968), 151-192.
6. Mogens Flensted-Jensen, Spherical functions on a real semisimple Lie group. A method of reduction to the complex case, J. Funct. Anal. 301948, 106-146.
7. Patrice Sawyer, The heat equation on spaces of positive definite matrices, Canad. J. Math. (3) 44(1992), 624-651.
8. _, On an upper bound for the heat kernel on SU*(2n) / Sp(n), Canad. Bull. Math. (3) 37(1994), 408-418.
9. _, Spherical functions on symmetric cones, Trans. Amer. Math. Soc. (1995), 1-15.