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J. Aust. Math. Soc.
77 (2004), 249-268 | ||
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Some regularity estimates for convolution semigroups on a group of polynomial growth
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| Abstract | ||
| We study a convolution semigroup satisfying
Gaussian estimates on a group G
of polynomial volume growth. If Q
is a subgroup satisfying a certain geometric
condition, we obtain high order regularity
estimates for the semigroup in the direction of Q.
Applications to heat kernels and convolution
powers are given.
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