Geodesic
On an Upper Bound for the Heat Kernel on SU*(2n)/ Sp(n)
Canadian mathematical bulletin, Tome 37 (1994) no. 3, pp. 408-418

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Jean-Philippe Anker made an interesting conjecture in [2] about the growth of the heat kernel on symmetric spaces of noncompact type. For any symmetric space of noncompact type, we can write where φ0 is the Legendre function and q, "the dimension at infinity", is chosen such that limt—>∞Vt(x) = 1 for all x. Anker's conjecture can be stated as follows: there exists a constant C > 0 such that where is the set of positive indivisible roots. The behaviour of the function φ0 is well known (see [1]).The main goal of this paper is to establish the conjecture for the spaces SU*(2n)/ Sp(n).
DOI : 10.4153/CMB-1994-059-x
Mots-clés : Primary: 58G30, secondary: 53C35, 58G11 
Sawyer, P. On an Upper Bound for the Heat Kernel on SU*(2n)/ Sp(n). Canadian mathematical bulletin, Tome 37 (1994) no. 3, pp. 408-418. doi: 10.4153/CMB-1994-059-x
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