State of boundaries for harmonic transforms of one-dimensional generalized diffusion processes

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概要

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• We consider a one-dimensionalg eneralized diffusion operator G represented by tripletof Borel measures and a harmonic transform G_h of G, where h is a harmonic function forG. Specially we treat an operator with killing measure which is not null measure. Weconsider the state of boundaries for the one-dimensional generalized diffusion process D_hwith G_h as the generator. State of boundaries for D_h may be different from those for D which is a one-dimensional generalized process with G as the generator. We haracterize　the state of boundaries for D_h in terms of the Borel measures and a harmonic function for G. After we prove our main theorem, we give some examples.

• 奈良女子大学の論文
• 2010-03-31

著者

• 嶽村 智子

  School Of Interdisciplinary Research Of Scientific Phenomena And Information

関連論文

• State of boundaries for harmonic transforms of one-dimensional generalized diffusion processes
• Elementary solutions of Bessel processes with boundary conditions

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