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Some regularity estimates for convolution semigroups on a group of polynomial growth
Published online by Cambridge University Press: 09 April 2009
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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- Research Article
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- Copyright © Australian Mathematical Society 2004
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