EXTENSIONS OF DIFFUSION PROCESSES ON INTERVALS AND FELLER'S BOUNDARY CONDITIONS

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For a minimal diffusion process on (a, b), any possible extension of it to a standard process on [a, b] is characterized by the characteristic measures of excursions away from the boundary points a and b. The generator of the extension is proved to be characterized by Feller's boundary condition.

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  • Osaka Journal of Mathematics

    Osaka Journal of Mathematics 51 (2), 375-404, 2014-04

    Osaka University and Osaka City University, Departments of Mathematics

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