![](https://d3ilqtpdwi981i.cloudfront.net/DQ3_XNMQG6-suzU2A-PC367PBLM=/425x550/smart/https://bepress-attached-resources.s3.amazonaws.com/uploads/6e/a8/66/6ea86634-1669-4fa8-9455-18c96defb06a/thumbnail_22bfeff8-0a8e-4d83-8511-80cd50d578af.jpg)
Article
Commuting Self-Adjoint Extensions of Symmetric Operators Defined from the Partial Derivatives
Journal of Mathematical Physics
Document Type
Article
Publication Date
12-1-2000
Disciplines
Abstract
We consider the problem of finding commuting self-adjoint extensions of the partial derivatives {(1/i)(∂/∂xj):j=1,...,d} with domain C∞c(Ω) where the self-adjointness is defined relative to L2(Ω), and Ω is a given open subset of Rd.
Citation Information
Palle Jorgensen and Steen Pedersen. "Commuting Self-Adjoint Extensions of Symmetric Operators Defined from the Partial Derivatives" Journal of Mathematical Physics Vol. 41 Iss. 12 (2000) p. 8263 - 8278 ISSN: 0022-2488 Available at: http://works.bepress.com/steen_pedersen/8/
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 http://jmp.aip.org/resource/1/jmapaq/v41/i12/p8263_s1?bypassSSO=1