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

Dungey, Nicholas

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

Date

2004

Authors

Dungey, Nicholas

Publisher

Australian Mathematics Publishing Association

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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http://hdl.handle.net/1885/81630

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ANU Research Publications

Source

Journal of the Australian Mathematical Society

Type

Journal article

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2037-12-31

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

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