Gaussian bounds for derivatives of central Gaussian semigroups on compact groups |
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| Authors: | A Bendikov L Saloff-Coste |
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| Institution: | Department of Mathematics, Malott Hall, Cornell University, Ithaca, New York 14853-4201 ; Department of Mathematics, Malott Hall, Cornell University, Ithaca, New York 14853-4201 |
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| 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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