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We consider the problem of finding commuting self-adjoint extensions of the partial derivatives {(1/i)(∂/∂xj):j=1,...,d} with domain Cc(Ω) where the self-adjointness is defined relative to L2(Ω), and Ω is a given open subset of Rd.


Copyright © 2000, American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Journal of Mathematical Physics 41.12, and may be found at