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Some regulatory estimates for convolution semigroups on a group of polynomial growth

Dungey, Nicholas


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.

CollectionsANU Research Publications
Date published: 2004
Type: Journal article
Source: Journal of the Australian Mathematical Society


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