On an Upper Bound for the Heat Kernel on SU*(2n)/ Sp(n)
1994 ◽
Vol 37
(3)
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pp. 408-418
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Keyword(s):
AbstractJean-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 writewhere 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 thatwhere 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).
1997 ◽
Vol 49
(2)
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pp. 360-373
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Keyword(s):
2007 ◽
Vol 50
(2)
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pp. 291-312
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Keyword(s):
2013 ◽
Vol 10
(04)
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pp. 677-701
Keyword(s):
1964 ◽
Vol 4
(1)
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pp. 113-121
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2012 ◽
Vol 12
(04)
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pp. 1250001
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Keyword(s):
2002 ◽
Vol 112
(2)
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pp. 321-330
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