Two classes of extensions for generalized Schrödinger operators |
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| Authors: | Masayoshi Takeda |
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| Institution: | (1) Department of Mathematical Science, Faculty of Engineering Science, Osaka University, Toyonaka, 560 Osaka, Japan |
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| Abstract: | Two classes of extensions for generalized Schrödinger operators are considered. One is the Markovian self-adjoint extensions and the other is the extensions in Silverstein's sense. We prove that these classes of extensions are identical. As its application, some properties of drift transformations of Brownian motion are derived. |
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| Keywords: | 31C25 60J57 60J65 |
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