Displaying similar documents to “Hitting distributions domination and subordinate resolvents; an analytic approach”

Duality and the Martin compactification

John C. Taylor (1972)

Annales de l'institut Fourier

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Let ℋ 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 ℋ is a Brelot sheaf which possesses an adjoint sheaf ℋ * the dual process corresponds to ℋ * . The Martin compactification defined by a Brelot sheaf ℋ that admits a Green function coincides with a Kunita-Watanabe compactification defined by the dual resolvent. ...