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Duality and the Martin compactification

John C. Taylor (1972)

Annales de l'institut Fourier

Let be a Bauer sheaf that admits a Green function. Then there exists a diffusion process corresponding to the sheaf whose resolvent possesses a Hunt-Kunita-Watanabe dual resolvent that comes from a diffusion process. If is a Brelot sheaf which possesses an adjoint sheaf * the dual process corresponds to * .The Martin compactification defined by a Brelot sheaf that admits a Green function coincides with a Kunita-Watanabe compactification defined by the dual resolvent.

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