On anomalous asymptotics of heat kernels on groups of polynomial growth
[Please see pdf version of the abstract for an accurate reproduction of the formulae and special characters.] ¶ Let K denote the kernel of the continuous semigroup S generated by H = (-1)m/2 d' [sigma]i=1 Ami where A1; ; Ad' are a generating basis of right-invariant fields acting on L2(G) with G a Lie group of polynomial growth and m an even positive integer. If G is connected, simply connected, and has an abelian nilshadow we establish that |Kt(g)|<= [function of]Na dhG(m)b;t...[Show more]
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