Geodesic
Estimates for the Heat Kernel on SL(n,R)/ SO(n)
Canadian journal of mathematics, Tome 49 (1997) no. 2, pp. 360-373

Voir la notice de l'article provenant de la source Cambridge University Press

In [1], Jean-Philippe Anker conjectures an upper bound for the heat kernel of a symmetric space of noncompact type. We show in this paper that his prediction is verified for the space of positive definite n × n real matrices.
DOI : 10.4153/CJM-1997-018-1
Mots-clés : 58G30, 53C35, 58G11 
Sawyer, P. Estimates for the Heat Kernel on SL(n,R)/ SO(n). Canadian journal of mathematics, Tome 49 (1997) no. 2, pp. 360-373. doi: 10.4153/CJM-1997-018-1
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[1] 1. Anker, Jean-Philippe, Le noyau de la chaleur sur les espaces symétriques (p, q)/(p) ₓ (q), Lecture Notes in Math. , Springer Verlag, New York, 1988. 60–82. Google Scholar

[2] 2. Anker, Jean-Philippe, Sharp estimates for some functions of the Laplacian on noncompact symmetric spaces, Duke Math. J. (2) 65(1992), 257–297. Google Scholar

[3] 3. Chayet, Maurice, Some general estimates for the heat kernel on a symmetric space and related problems of integral geometry, Thesis, McGill University, 1990. 1–76. Google Scholar

[4] 4. Davies, E.B., Heat kernels and spectral theory, Cambridge Univ. Press, 1989. Google Scholar

[5] 5. Gangolli, R., Asymptotic behaviour of spectra of compact quotients of certain symmetric spaces, Acta Math. 121(1968), 151–192. Google Scholar

[6] 6. Flensted-Jensen, Mogens, Spherical functions on a real semisimple Lie group. A method of reduction to the complex case, J. Funct. Anal. 30 1948, 106–146. Google Scholar

[7] 7. Sawyer, Patrice, The heat equation on spaces of positive definite matrices, Canad. J. Math. (3) 44(1992), 624–651. Google Scholar

[8] 8. Sawyer, Patrice, On an upper bound for the heat kernel on *(2n)/(n, ), Canad. Bull. Math. (3) 37(1994), 408–418. Google Scholar

[9] 9. Sawyer, Patrice, Spherical functions on symmetric cones, Trans. Amer. Math. Soc. (1995), 1–15. Google Scholar

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