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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Takeda, M. Two classes of extensions for generalized Schrödinger operators. Potential Anal 5, 1–13 (1996). https://doi.org/10.1007/BF00276692
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DOI: https://doi.org/10.1007/BF00276692