Gaussian bounds for derivatives of central Gaussian semigroups on compact groups

Bendikov, A.; Saloff-Coste, L.

doi:10.1090/S0002-9947-01-02945-2

Gaussian bounds for derivatives of central Gaussian semigroups on compact groups
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by A. Bendikov and L. Saloff-Coste PDF

Trans. Amer. Math. Soc. 354 (2002), 1279-1298 Request permission

Abstract:

For symmetric central Gaussian semigroups on compact connected groups, assuming the existence of a continuous density, we show that this density admits space derivatives of all orders in certain directions. Under some additional assumptions, we prove that these derivatives satisfy certain Gaussian bounds.

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